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Finding the Fourth Proportional to 306,133.70, 459,200.55 and 260,862.80

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Solution

The fourth proportional to 306,133.70, 459,200.55 and 260,862.80 is: 391,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,133.70 : 459,200.55 = 260,862.80 : x
  2. Step 2: Convert to fraction form
    306,133.70/459,200.55 = 260,862.80/x
  3. Step 3: Cross multiply
    306,133.70x = 459,200.55 × 260,862.80
  4. Step 4: Simplify right side
    306,133.70x = 119,788,341,234.54
  5. Step 5: Solve for x
    x = 119,788,341,234.54/306,133.70
  6. Step 6: Final answer
    x = 391,294.20

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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.