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Finding the Fourth Proportional to 288,006.57, 431,385.89 and 208,946.25

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Solution

The fourth proportional to 288,006.57, 431,385.89 and 208,946.25 is: 312,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,006.57 : 431,385.89 = 208,946.25 : x
  2. Step 2: Convert to fraction form
    288,006.57/431,385.89 = 208,946.25/x
  3. Step 3: Cross multiply
    288,006.57x = 431,385.89 × 208,946.25
  4. Step 4: Simplify right side
    288,006.57x = 90,136,462,973.68
  5. Step 5: Solve for x
    x = 90,136,462,973.68/288,006.57
  6. Step 6: Final answer
    x = 312,966.69

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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.