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Finding the Fourth Proportional to 731,520, 1,009,499.10 and 409,235.50

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Solution

The fourth proportional to 731,520, 1,009,499.10 and 409,235.50 is: 564,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,520 : 1,009,499.10 = 409,235.50 : x
  2. Step 2: Convert to fraction form
    731,520/1,009,499.10 = 409,235.50/x
  3. Step 3: Cross multiply
    731,520x = 1,009,499.10 × 409,235.50
  4. Step 4: Simplify right side
    731,520x = 413,122,868,938.05
  5. Step 5: Solve for x
    x = 413,122,868,938.05/731,520
  6. Step 6: Final answer
    x = 564,745.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.