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Finding the Fourth Proportional to 429,663.28, 644,713.08 and 192,957.52

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Solution

The fourth proportional to 429,663.28, 644,713.08 and 192,957.52 is: 289,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,663.28 : 644,713.08 = 192,957.52 : x
  2. Step 2: Convert to fraction form
    429,663.28/644,713.08 = 192,957.52/x
  3. Step 3: Cross multiply
    429,663.28x = 644,713.08 × 192,957.52
  4. Step 4: Simplify right side
    429,663.28x = 124,402,237,028.36
  5. Step 5: Solve for x
    x = 124,402,237,028.36/429,663.28
  6. Step 6: Final answer
    x = 289,534.25

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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.