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Finding the Fourth Proportional to 355,545.12, 490,775.76 and 204,702.24

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Solution

The fourth proportional to 355,545.12, 490,775.76 and 204,702.24 is: 282,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,545.12 : 490,775.76 = 204,702.24 : x
  2. Step 2: Convert to fraction form
    355,545.12/490,775.76 = 204,702.24/x
  3. Step 3: Cross multiply
    355,545.12x = 490,775.76 × 204,702.24
  4. Step 4: Simplify right side
    355,545.12x = 100,462,897,409.70
  5. Step 5: Solve for x
    x = 100,462,897,409.70/355,545.12
  6. Step 6: Final answer
    x = 282,560.19

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1.5x scale

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.