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Finding the Fourth Proportional to 257,808.04, 386,696.46 and 153,292.12

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Solution

The fourth proportional to 257,808.04, 386,696.46 and 153,292.12 is: 229,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,808.04 : 386,696.46 = 153,292.12 : x
  2. Step 2: Convert to fraction form
    257,808.04/386,696.46 = 153,292.12/x
  3. Step 3: Cross multiply
    257,808.04x = 386,696.46 × 153,292.12
  4. Step 4: Simplify right side
    257,808.04x = 59,277,520,149.90
  5. Step 5: Solve for x
    x = 59,277,520,149.90/257,808.04
  6. Step 6: Final answer
    x = 229,928.90

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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.