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Finding the Fourth Proportional to 520,922.94, 781,502.25 and 165,957.18

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Solution

The fourth proportional to 520,922.94, 781,502.25 and 165,957.18 is: 248,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,922.94 : 781,502.25 = 165,957.18 : x
  2. Step 2: Convert to fraction form
    520,922.94/781,502.25 = 165,957.18/x
  3. Step 3: Cross multiply
    520,922.94x = 781,502.25 × 165,957.18
  4. Step 4: Simplify right side
    520,922.94x = 129,695,909,573.66
  5. Step 5: Solve for x
    x = 129,695,909,573.66/520,922.94
  6. Step 6: Final answer
    x = 248,973.31

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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.