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Finding the Fourth Proportional to 418,541.40, 627,812.10 and 402,211.80

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Solution

The fourth proportional to 418,541.40, 627,812.10 and 402,211.80 is: 603,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,541.40 : 627,812.10 = 402,211.80 : x
  2. Step 2: Convert to fraction form
    418,541.40/627,812.10 = 402,211.80/x
  3. Step 3: Cross multiply
    418,541.40x = 627,812.10 × 402,211.80
  4. Step 4: Simplify right side
    418,541.40x = 252,513,434,802.78
  5. Step 5: Solve for x
    x = 252,513,434,802.78/418,541.40
  6. Step 6: Final answer
    x = 603,317.70

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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.