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Finding the Fourth Proportional to 499,712.48, 749,678.16 and 144,740.96

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Solution

The fourth proportional to 499,712.48, 749,678.16 and 144,740.96 is: 217,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,712.48 : 749,678.16 = 144,740.96 : x
  2. Step 2: Convert to fraction form
    499,712.48/749,678.16 = 144,740.96/x
  3. Step 3: Cross multiply
    499,712.48x = 749,678.16 × 144,740.96
  4. Step 4: Simplify right side
    499,712.48x = 108,509,136,569.43
  5. Step 5: Solve for x
    x = 108,509,136,569.43/499,712.48
  6. Step 6: Final answer
    x = 217,143.14

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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.