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Finding the Fourth Proportional to 407,030.57, 561,720.93 and 225,731.70

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Solution

The fourth proportional to 407,030.57, 561,720.93 and 225,731.70 is: 311,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,030.57 : 561,720.93 = 225,731.70 : x
  2. Step 2: Convert to fraction form
    407,030.57/561,720.93 = 225,731.70/x
  3. Step 3: Cross multiply
    407,030.57x = 561,720.93 × 225,731.70
  4. Step 4: Simplify right side
    407,030.57x = 126,798,220,454.48
  5. Step 5: Solve for x
    x = 126,798,220,454.48/407,030.57
  6. Step 6: Final answer
    x = 311,520.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.