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Finding the Fourth Proportional to 415,803.80, 623,720.10 and 131,497.40

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Solution

The fourth proportional to 415,803.80, 623,720.10 and 131,497.40 is: 197,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803.80 : 623,720.10 = 131,497.40 : x
  2. Step 2: Convert to fraction form
    415,803.80/623,720.10 = 131,497.40/x
  3. Step 3: Cross multiply
    415,803.80x = 623,720.10 × 131,497.40
  4. Step 4: Simplify right side
    415,803.80x = 82,017,571,477.74
  5. Step 5: Solve for x
    x = 82,017,571,477.74/415,803.80
  6. Step 6: Final answer
    x = 197,250.65

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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.