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Finding the Fourth Proportional to 869,822,404.12, 1,200,355,114.40 and 478,681,828.12

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Solution

The fourth proportional to 869,822,404.12, 1,200,355,114.40 and 478,681,828.12 is: 660,581,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,822,404.12 : 1,200,355,114.40 = 478,681,828.12 : x
  2. Step 2: Convert to fraction form
    869,822,404.12/1,200,355,114.40 = 478,681,828.12/x
  3. Step 3: Cross multiply
    869,822,404.12x = 1,200,355,114.40 × 478,681,828.12
  4. Step 4: Simplify right side
    869,822,404.12x = 574,588,180,554,183,808
  5. Step 5: Solve for x
    x = 574,588,180,554,183,808/869,822,404.12
  6. Step 6: Final answer
    x = 660,581,031.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.