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Finding the Fourth Proportional to 515,074.23, 710,800.20 and 288,719.73

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Solution

The fourth proportional to 515,074.23, 710,800.20 and 288,719.73 is: 398,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,074.23 : 710,800.20 = 288,719.73 : x
  2. Step 2: Convert to fraction form
    515,074.23/710,800.20 = 288,719.73/x
  3. Step 3: Cross multiply
    515,074.23x = 710,800.20 × 288,719.73
  4. Step 4: Simplify right side
    515,074.23x = 205,222,041,827.95
  5. Step 5: Solve for x
    x = 205,222,041,827.95/515,074.23
  6. Step 6: Final answer
    x = 398,431.97

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1.5x scale

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.