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Finding the Fourth Proportional to 419,531.60, 578,726.16 and 249,732.92

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Solution

The fourth proportional to 419,531.60, 578,726.16 and 249,732.92 is: 344,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,531.60 : 578,726.16 = 249,732.92 : x
  2. Step 2: Convert to fraction form
    419,531.60/578,726.16 = 249,732.92/x
  3. Step 3: Cross multiply
    419,531.60x = 578,726.16 × 249,732.92
  4. Step 4: Simplify right side
    419,531.60x = 144,526,973,817.19
  5. Step 5: Solve for x
    x = 144,526,973,817.19/419,531.60
  6. Step 6: Final answer
    x = 344,496.04

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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.