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Finding the Fourth Proportional to 288,654.54, 432,941.10 and 99,111.91

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Solution

The fourth proportional to 288,654.54, 432,941.10 and 99,111.91 is: 148,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,654.54 : 432,941.10 = 99,111.91 : x
  2. Step 2: Convert to fraction form
    288,654.54/432,941.10 = 99,111.91/x
  3. Step 3: Cross multiply
    288,654.54x = 432,941.10 × 99,111.91
  4. Step 4: Simplify right side
    288,654.54x = 42,909,617,173.80
  5. Step 5: Solve for x
    x = 42,909,617,173.80/288,654.54
  6. Step 6: Final answer
    x = 148,653.88

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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.