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Finding the Fourth Proportional to 314,938,164.60, 472,407,246.90 and 287,728,385.40

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Solution

The fourth proportional to 314,938,164.60, 472,407,246.90 and 287,728,385.40 is: 431,592,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,938,164.60 : 472,407,246.90 = 287,728,385.40 : x
  2. Step 2: Convert to fraction form
    314,938,164.60/472,407,246.90 = 287,728,385.40/x
  3. Step 3: Cross multiply
    314,938,164.60x = 472,407,246.90 × 287,728,385.40
  4. Step 4: Simplify right side
    314,938,164.60x = 135,924,974,401,796,144
  5. Step 5: Solve for x
    x = 135,924,974,401,796,144/314,938,164.60
  6. Step 6: Final answer
    x = 431,592,578.10

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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.