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Finding the Fourth Proportional to 424,030.84, 636,077.34 and 157,791.28

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Solution

The fourth proportional to 424,030.84, 636,077.34 and 157,791.28 is: 236,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,030.84 : 636,077.34 = 157,791.28 : x
  2. Step 2: Convert to fraction form
    424,030.84/636,077.34 = 157,791.28/x
  3. Step 3: Cross multiply
    424,030.84x = 636,077.34 × 157,791.28
  4. Step 4: Simplify right side
    424,030.84x = 100,367,457,657.60
  5. Step 5: Solve for x
    x = 100,367,457,657.60/424,030.84
  6. Step 6: Final answer
    x = 236,698.49

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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.