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Finding the Fourth Proportional to 619,482.47, 929,026.80 and 421,077.83

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Solution

The fourth proportional to 619,482.47, 929,026.80 and 421,077.83 is: 631,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,482.47 : 929,026.80 = 421,077.83 : x
  2. Step 2: Convert to fraction form
    619,482.47/929,026.80 = 421,077.83/x
  3. Step 3: Cross multiply
    619,482.47x = 929,026.80 × 421,077.83
  4. Step 4: Simplify right side
    619,482.47x = 391,192,584,310.71
  5. Step 5: Solve for x
    x = 391,192,584,310.71/619,482.47
  6. Step 6: Final answer
    x = 631,482.90

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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.