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Finding the Fourth Proportional to 288,602.80, 432,911.59 and 136,764.25

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Solution

The fourth proportional to 288,602.80, 432,911.59 and 136,764.25 is: 205,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,602.80 : 432,911.59 = 136,764.25 : x
  2. Step 2: Convert to fraction form
    288,602.80/432,911.59 = 136,764.25/x
  3. Step 3: Cross multiply
    288,602.80x = 432,911.59 × 136,764.25
  4. Step 4: Simplify right side
    288,602.80x = 59,206,827,498.47
  5. Step 5: Solve for x
    x = 59,206,827,498.47/288,602.80
  6. Step 6: Final answer
    x = 205,149.87

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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.