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Finding the Fourth Proportional to 457,314.90, 685,972.35 and 141,803.70

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Solution

The fourth proportional to 457,314.90, 685,972.35 and 141,803.70 is: 212,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,314.90 : 685,972.35 = 141,803.70 : x
  2. Step 2: Convert to fraction form
    457,314.90/685,972.35 = 141,803.70/x
  3. Step 3: Cross multiply
    457,314.90x = 685,972.35 × 141,803.70
  4. Step 4: Simplify right side
    457,314.90x = 97,273,417,327.70
  5. Step 5: Solve for x
    x = 97,273,417,327.70/457,314.90
  6. Step 6: Final answer
    x = 212,705.55

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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.