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Finding the Fourth Proportional to 474,860, 712,290 and 142,436

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Solution

The fourth proportional to 474,860, 712,290 and 142,436 is: 213,654

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,860 : 712,290 = 142,436 : x
  2. Step 2: Convert to fraction form
    474,860/712,290 = 142,436/x
  3. Step 3: Cross multiply
    474,860x = 712,290 × 142,436
  4. Step 4: Simplify right side
    474,860x = 101,455,738,440
  5. Step 5: Solve for x
    x = 101,455,738,440/474,860
  6. Step 6: Final answer
    x = 213,654

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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.