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Finding the Fourth Proportional to 397,614.60, 595,547.10 and 345,126.60

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Solution

The fourth proportional to 397,614.60, 595,547.10 and 345,126.60 is: 516,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,614.60 : 595,547.10 = 345,126.60 : x
  2. Step 2: Convert to fraction form
    397,614.60/595,547.10 = 345,126.60/x
  3. Step 3: Cross multiply
    397,614.60x = 595,547.10 × 345,126.60
  4. Step 4: Simplify right side
    397,614.60x = 205,539,145,762.86
  5. Step 5: Solve for x
    x = 205,539,145,762.86/397,614.60
  6. Step 6: Final answer
    x = 516,930.58

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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.