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Finding the Fourth Proportional to 419,520.60, 578,710.98 and 249,721.92

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Solution

The fourth proportional to 419,520.60, 578,710.98 and 249,721.92 is: 344,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,520.60 : 578,710.98 = 249,721.92 : x
  2. Step 2: Convert to fraction form
    419,520.60/578,710.98 = 249,721.92/x
  3. Step 3: Cross multiply
    419,520.60x = 578,710.98 × 249,721.92
  4. Step 4: Simplify right side
    419,520.60x = 144,516,817,050.68
  5. Step 5: Solve for x
    x = 144,516,817,050.68/419,520.60
  6. Step 6: Final answer
    x = 344,480.86

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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.