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Finding the Fourth Proportional to 655,420.32, 982,216.53 and 495,364.86

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Solution

The fourth proportional to 655,420.32, 982,216.53 and 495,364.86 is: 742,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,420.32 : 982,216.53 = 495,364.86 : x
  2. Step 2: Convert to fraction form
    655,420.32/982,216.53 = 495,364.86/x
  3. Step 3: Cross multiply
    655,420.32x = 982,216.53 × 495,364.86
  4. Step 4: Simplify right side
    655,420.32x = 486,555,553,873.14
  5. Step 5: Solve for x
    x = 486,555,553,873.14/655,420.32
  6. Step 6: Final answer
    x = 742,356.53

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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.