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Finding the Fourth Proportional to 420,280.15, 580,031.28 and 257,032.15

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Solution

The fourth proportional to 420,280.15, 580,031.28 and 257,032.15 is: 354,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,280.15 : 580,031.28 = 257,032.15 : x
  2. Step 2: Convert to fraction form
    420,280.15/580,031.28 = 257,032.15/x
  3. Step 3: Cross multiply
    420,280.15x = 580,031.28 × 257,032.15
  4. Step 4: Simplify right side
    420,280.15x = 149,086,686,965.65
  5. Step 5: Solve for x
    x = 149,086,686,965.65/420,280.15
  6. Step 6: Final answer
    x = 354,731.69

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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.