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Finding the Fourth Proportional to 478,164.01, 716,913.09 and 211,780.12

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Solution

The fourth proportional to 478,164.01, 716,913.09 and 211,780.12 is: 317,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,164.01 : 716,913.09 = 211,780.12 : x
  2. Step 2: Convert to fraction form
    478,164.01/716,913.09 = 211,780.12/x
  3. Step 3: Cross multiply
    478,164.01x = 716,913.09 × 211,780.12
  4. Step 4: Simplify right side
    478,164.01x = 151,827,938,437.49
  5. Step 5: Solve for x
    x = 151,827,938,437.49/478,164.01
  6. Step 6: Final answer
    x = 317,522.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.