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Finding the Fourth Proportional to 651,472.84, 978,318.78 and 424,155.40

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Solution

The fourth proportional to 651,472.84, 978,318.78 and 424,155.40 is: 636,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,472.84 : 978,318.78 = 424,155.40 : x
  2. Step 2: Convert to fraction form
    651,472.84/978,318.78 = 424,155.40/x
  3. Step 3: Cross multiply
    651,472.84x = 978,318.78 × 424,155.40
  4. Step 4: Simplify right side
    651,472.84x = 414,959,193,458.41
  5. Step 5: Solve for x
    x = 414,959,193,458.41/651,472.84
  6. Step 6: Final answer
    x = 636,955.48

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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.