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Finding the Fourth Proportional to 520,903.86, 781,411.80 and 165,834.84

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Solution

The fourth proportional to 520,903.86, 781,411.80 and 165,834.84 is: 248,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,903.86 : 781,411.80 = 165,834.84 : x
  2. Step 2: Convert to fraction form
    520,903.86/781,411.80 = 165,834.84/x
  3. Step 3: Cross multiply
    520,903.86x = 781,411.80 × 165,834.84
  4. Step 4: Simplify right side
    520,903.86x = 129,585,300,827.11
  5. Step 5: Solve for x
    x = 129,585,300,827.11/520,903.86
  6. Step 6: Final answer
    x = 248,770.09

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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.