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Finding the Fourth Proportional to 499,473, 749,210.22 and 203,985

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Solution

The fourth proportional to 499,473, 749,210.22 and 203,985 is: 305,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,473 : 749,210.22 = 203,985 : x
  2. Step 2: Convert to fraction form
    499,473/749,210.22 = 203,985/x
  3. Step 3: Cross multiply
    499,473x = 749,210.22 × 203,985
  4. Step 4: Simplify right side
    499,473x = 152,827,646,726.70
  5. Step 5: Solve for x
    x = 152,827,646,726.70/499,473
  6. Step 6: Final answer
    x = 305,977.79

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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.