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Finding the Fourth Proportional to 287,658.60, 432,006.30 and 208,861.80

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Solution

The fourth proportional to 287,658.60, 432,006.30 and 208,861.80 is: 313,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,658.60 : 432,006.30 = 208,861.80 : x
  2. Step 2: Convert to fraction form
    287,658.60/432,006.30 = 208,861.80/x
  3. Step 3: Cross multiply
    287,658.60x = 432,006.30 × 208,861.80
  4. Step 4: Simplify right side
    287,658.60x = 90,229,613,429.34
  5. Step 5: Solve for x
    x = 90,229,613,429.34/287,658.60
  6. Step 6: Final answer
    x = 313,669.10

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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.