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Finding the Fourth Proportional to 431,356.71, 647,035.53 and 430,733.72

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Solution

The fourth proportional to 431,356.71, 647,035.53 and 430,733.72 is: 646,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,356.71 : 647,035.53 = 430,733.72 : x
  2. Step 2: Convert to fraction form
    431,356.71/647,035.53 = 430,733.72/x
  3. Step 3: Cross multiply
    431,356.71x = 647,035.53 × 430,733.72
  4. Step 4: Simplify right side
    431,356.71x = 278,700,018,655.40
  5. Step 5: Solve for x
    x = 278,700,018,655.40/431,356.71
  6. Step 6: Final answer
    x = 646,101.04

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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.