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Finding the Fourth Proportional to 521,706.80, 781,393.80 and 402,993.20

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Solution

The fourth proportional to 521,706.80, 781,393.80 and 402,993.20 is: 603,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,706.80 : 781,393.80 = 402,993.20 : x
  2. Step 2: Convert to fraction form
    521,706.80/781,393.80 = 402,993.20/x
  3. Step 3: Cross multiply
    521,706.80x = 781,393.80 × 402,993.20
  4. Step 4: Simplify right side
    521,706.80x = 314,896,387,922.16
  5. Step 5: Solve for x
    x = 314,896,387,922.16/521,706.80
  6. Step 6: Final answer
    x = 603,588.81

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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.