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Finding the Fourth Proportional to 520,840.42, 781,335.47 and 161,039.34

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Solution

The fourth proportional to 520,840.42, 781,335.47 and 161,039.34 is: 241,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,840.42 : 781,335.47 = 161,039.34 : x
  2. Step 2: Convert to fraction form
    520,840.42/781,335.47 = 161,039.34/x
  3. Step 3: Cross multiply
    520,840.42x = 781,335.47 × 161,039.34
  4. Step 4: Simplify right side
    520,840.42x = 125,825,744,500.71
  5. Step 5: Solve for x
    x = 125,825,744,500.71/520,840.42
  6. Step 6: Final answer
    x = 241,582.14

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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.