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Finding the Fourth Proportional to 407,564.70, 611,104.05 and 249,906.30

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Solution

The fourth proportional to 407,564.70, 611,104.05 and 249,906.30 is: 374,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,564.70 : 611,104.05 = 249,906.30 : x
  2. Step 2: Convert to fraction form
    407,564.70/611,104.05 = 249,906.30/x
  3. Step 3: Cross multiply
    407,564.70x = 611,104.05 × 249,906.30
  4. Step 4: Simplify right side
    407,564.70x = 152,718,752,050.52
  5. Step 5: Solve for x
    x = 152,718,752,050.52/407,564.70
  6. Step 6: Final answer
    x = 374,710.45

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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.