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Finding the Fourth Proportional to 407,176.40, 610,630.84 and 137,232.12

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Solution

The fourth proportional to 407,176.40, 610,630.84 and 137,232.12 is: 205,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,176.40 : 610,630.84 = 137,232.12 : x
  2. Step 2: Convert to fraction form
    407,176.40/610,630.84 = 137,232.12/x
  3. Step 3: Cross multiply
    407,176.40x = 610,630.84 × 137,232.12
  4. Step 4: Simplify right side
    407,176.40x = 83,798,164,710.58
  5. Step 5: Solve for x
    x = 83,798,164,710.58/407,176.40
  6. Step 6: Final answer
    x = 205,803.10

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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.