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Finding the Fourth Proportional to 399,252.80, 598,879.20 and 257,535.20

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Solution

The fourth proportional to 399,252.80, 598,879.20 and 257,535.20 is: 386,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,252.80 : 598,879.20 = 257,535.20 : x
  2. Step 2: Convert to fraction form
    399,252.80/598,879.20 = 257,535.20/x
  3. Step 3: Cross multiply
    399,252.80x = 598,879.20 × 257,535.20
  4. Step 4: Simplify right side
    399,252.80x = 154,232,474,547.84
  5. Step 5: Solve for x
    x = 154,232,474,547.84/399,252.80
  6. Step 6: Final answer
    x = 386,302.80

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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.