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Finding the Fourth Proportional to 429,276.40, 643,655.40 and 192,574.96

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Solution

The fourth proportional to 429,276.40, 643,655.40 and 192,574.96 is: 288,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,276.40 : 643,655.40 = 192,574.96 : x
  2. Step 2: Convert to fraction form
    429,276.40/643,655.40 = 192,574.96/x
  3. Step 3: Cross multiply
    429,276.40x = 643,655.40 × 192,574.96
  4. Step 4: Simplify right side
    429,276.40x = 123,951,912,908.78
  5. Step 5: Solve for x
    x = 123,951,912,908.78/429,276.40
  6. Step 6: Final answer
    x = 288,746.16

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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.