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Finding the Fourth Proportional to 420,281.15, 580,032.66 and 257,033.15

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Solution

The fourth proportional to 420,281.15, 580,032.66 and 257,033.15 is: 354,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,281.15 : 580,032.66 = 257,033.15 : x
  2. Step 2: Convert to fraction form
    420,281.15/580,032.66 = 257,033.15/x
  3. Step 3: Cross multiply
    420,281.15x = 580,032.66 × 257,033.15
  4. Step 4: Simplify right side
    420,281.15x = 149,087,621,702.68
  5. Step 5: Solve for x
    x = 149,087,621,702.68/420,281.15
  6. Step 6: Final answer
    x = 354,733.07

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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.