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Finding the Fourth Proportional to 520,265.06, 780,397.90 and 146,288.06

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Solution

The fourth proportional to 520,265.06, 780,397.90 and 146,288.06 is: 219,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,265.06 : 780,397.90 = 146,288.06 : x
  2. Step 2: Convert to fraction form
    520,265.06/780,397.90 = 146,288.06/x
  3. Step 3: Cross multiply
    520,265.06x = 780,397.90 × 146,288.06
  4. Step 4: Simplify right side
    520,265.06x = 114,162,894,819.07
  5. Step 5: Solve for x
    x = 114,162,894,819.07/520,265.06
  6. Step 6: Final answer
    x = 219,432.18

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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.