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Finding the Fourth Proportional to 288,497.70, 432,654.21 and 96,330.87

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Solution

The fourth proportional to 288,497.70, 432,654.21 and 96,330.87 is: 144,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,497.70 : 432,654.21 = 96,330.87 : x
  2. Step 2: Convert to fraction form
    288,497.70/432,654.21 = 96,330.87/x
  3. Step 3: Cross multiply
    288,497.70x = 432,654.21 × 96,330.87
  4. Step 4: Simplify right side
    288,497.70x = 41,677,956,458.46
  5. Step 5: Solve for x
    x = 41,677,956,458.46/288,497.70
  6. Step 6: Final answer
    x = 144,465.47

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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.