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Finding the Fourth Proportional to 407,563.70, 611,102.55 and 249,905.30

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Solution

The fourth proportional to 407,563.70, 611,102.55 and 249,905.30 is: 374,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,563.70 : 611,102.55 = 249,905.30 : x
  2. Step 2: Convert to fraction form
    407,563.70/611,102.55 = 249,905.30/x
  3. Step 3: Cross multiply
    407,563.70x = 611,102.55 × 249,905.30
  4. Step 4: Simplify right side
    407,563.70x = 152,717,766,088.52
  5. Step 5: Solve for x
    x = 152,717,766,088.52/407,563.70
  6. Step 6: Final answer
    x = 374,708.95

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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.