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Finding the Fourth Proportional to 655,419.84, 982,215.76 and 495,364.36

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Solution

The fourth proportional to 655,419.84, 982,215.76 and 495,364.36 is: 742,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,419.84 : 982,215.76 = 495,364.36 : x
  2. Step 2: Convert to fraction form
    655,419.84/982,215.76 = 495,364.36/x
  3. Step 3: Cross multiply
    655,419.84x = 982,215.76 × 495,364.36
  4. Step 4: Simplify right side
    655,419.84x = 486,554,681,334.31
  5. Step 5: Solve for x
    x = 486,554,681,334.31/655,419.84
  6. Step 6: Final answer
    x = 742,355.74

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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.