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Finding the Fourth Proportional to 468,282.47, 646,508.18 and 307,418.90

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Solution

The fourth proportional to 468,282.47, 646,508.18 and 307,418.90 is: 424,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,282.47 : 646,508.18 = 307,418.90 : x
  2. Step 2: Convert to fraction form
    468,282.47/646,508.18 = 307,418.90/x
  3. Step 3: Cross multiply
    468,282.47x = 646,508.18 × 307,418.90
  4. Step 4: Simplify right side
    468,282.47x = 198,748,831,072.61
  5. Step 5: Solve for x
    x = 198,748,831,072.61/468,282.47
  6. Step 6: Final answer
    x = 424,420.83

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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.