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Finding the Fourth Proportional to 613,374.10, 918,311.55 and 543,390.10

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Solution

The fourth proportional to 613,374.10, 918,311.55 and 543,390.10 is: 813,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,374.10 : 918,311.55 = 543,390.10 : x
  2. Step 2: Convert to fraction form
    613,374.10/918,311.55 = 543,390.10/x
  3. Step 3: Cross multiply
    613,374.10x = 918,311.55 × 543,390.10
  4. Step 4: Simplify right side
    613,374.10x = 499,001,404,985.66
  5. Step 5: Solve for x
    x = 499,001,404,985.66/613,374.10
  6. Step 6: Final answer
    x = 813,535.17

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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.