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Finding the Fourth Proportional to 478,367,427.20, 670,167,894.40 and 478,367,427.20

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Solution

The fourth proportional to 478,367,427.20, 670,167,894.40 and 478,367,427.20 is: 670,167,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,367,427.20 : 670,167,894.40 = 478,367,427.20 : x
  2. Step 2: Convert to fraction form
    478,367,427.20/670,167,894.40 = 478,367,427.20/x
  3. Step 3: Cross multiply
    478,367,427.20x = 670,167,894.40 × 478,367,427.20
  4. Step 4: Simplify right side
    478,367,427.20x = 320,586,491,436,169,280
  5. Step 5: Solve for x
    x = 320,586,491,436,169,280/478,367,427.20
  6. Step 6: Final answer
    x = 670,167,894.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.