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Finding the Fourth Proportional to 429,637.25, 643,474.72 and 205,155.71

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Solution

The fourth proportional to 429,637.25, 643,474.72 and 205,155.71 is: 307,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,637.25 : 643,474.72 = 205,155.71 : x
  2. Step 2: Convert to fraction form
    429,637.25/643,474.72 = 205,155.71/x
  3. Step 3: Cross multiply
    429,637.25x = 643,474.72 × 205,155.71
  4. Step 4: Simplify right side
    429,637.25x = 132,012,513,048.65
  5. Step 5: Solve for x
    x = 132,012,513,048.65/429,637.25
  6. Step 6: Final answer
    x = 307,265.05

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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.