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Finding the Fourth Proportional to 561,155.40, 842,510.70 and 442,960.20

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Solution

The fourth proportional to 561,155.40, 842,510.70 and 442,960.20 is: 665,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,155.40 : 842,510.70 = 442,960.20 : x
  2. Step 2: Convert to fraction form
    561,155.40/842,510.70 = 442,960.20/x
  3. Step 3: Cross multiply
    561,155.40x = 842,510.70 × 442,960.20
  4. Step 4: Simplify right side
    561,155.40x = 373,198,708,174.14
  5. Step 5: Solve for x
    x = 373,198,708,174.14/561,155.40
  6. Step 6: Final answer
    x = 665,054.12

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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.