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Finding the Fourth Proportional to 315,038.80, 472,435.35 and 137,424.70

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Solution

The fourth proportional to 315,038.80, 472,435.35 and 137,424.70 is: 206,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,038.80 : 472,435.35 = 137,424.70 : x
  2. Step 2: Convert to fraction form
    315,038.80/472,435.35 = 137,424.70/x
  3. Step 3: Cross multiply
    315,038.80x = 472,435.35 × 137,424.70
  4. Step 4: Simplify right side
    315,038.80x = 64,924,286,243.15
  5. Step 5: Solve for x
    x = 64,924,286,243.15/315,038.80
  6. Step 6: Final answer
    x = 206,083.46

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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.