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Finding the Fourth Proportional to 653,724.94, 978,478.15 and 337,747.18

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Solution

The fourth proportional to 653,724.94, 978,478.15 and 337,747.18 is: 505,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,724.94 : 978,478.15 = 337,747.18 : x
  2. Step 2: Convert to fraction form
    653,724.94/978,478.15 = 337,747.18/x
  3. Step 3: Cross multiply
    653,724.94x = 978,478.15 × 337,747.18
  4. Step 4: Simplify right side
    653,724.94x = 330,478,235,854.12
  5. Step 5: Solve for x
    x = 330,478,235,854.12/653,724.94
  6. Step 6: Final answer
    x = 505,531.02

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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.