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Finding the Fourth Proportional to 520,937.40, 781,665.30 and 296,470.20

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Solution

The fourth proportional to 520,937.40, 781,665.30 and 296,470.20 is: 444,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,937.40 : 781,665.30 = 296,470.20 : x
  2. Step 2: Convert to fraction form
    520,937.40/781,665.30 = 296,470.20/x
  3. Step 3: Cross multiply
    520,937.40x = 781,665.30 × 296,470.20
  4. Step 4: Simplify right side
    520,937.40x = 231,740,467,824.06
  5. Step 5: Solve for x
    x = 231,740,467,824.06/520,937.40
  6. Step 6: Final answer
    x = 444,852.81

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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.