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Finding the Fourth Proportional to 402,371.28, 603,557.14 and 149,618.93

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Solution

The fourth proportional to 402,371.28, 603,557.14 and 149,618.93 is: 224,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,371.28 : 603,557.14 = 149,618.93 : x
  2. Step 2: Convert to fraction form
    402,371.28/603,557.14 = 149,618.93/x
  3. Step 3: Cross multiply
    402,371.28x = 603,557.14 × 149,618.93
  4. Step 4: Simplify right side
    402,371.28x = 90,303,570,088.83
  5. Step 5: Solve for x
    x = 90,303,570,088.83/402,371.28
  6. Step 6: Final answer
    x = 224,428.47

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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.