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Finding the Fourth Proportional to 367,431.84, 551,006.06 and 142,762.70

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Solution

The fourth proportional to 367,431.84, 551,006.06 and 142,762.70 is: 214,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,431.84 : 551,006.06 = 142,762.70 : x
  2. Step 2: Convert to fraction form
    367,431.84/551,006.06 = 142,762.70/x
  3. Step 3: Cross multiply
    367,431.84x = 551,006.06 × 142,762.70
  4. Step 4: Simplify right side
    367,431.84x = 78,663,109,373.12
  5. Step 5: Solve for x
    x = 78,663,109,373.12/367,431.84
  6. Step 6: Final answer
    x = 214,088.98

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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.