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Finding the Fourth Proportional to 257,807.40, 387,002.70 and 198,904.20

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Solution

The fourth proportional to 257,807.40, 387,002.70 and 198,904.20 is: 298,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,807.40 : 387,002.70 = 198,904.20 : x
  2. Step 2: Convert to fraction form
    257,807.40/387,002.70 = 198,904.20/x
  3. Step 3: Cross multiply
    257,807.40x = 387,002.70 × 198,904.20
  4. Step 4: Simplify right side
    257,807.40x = 76,976,462,441.34
  5. Step 5: Solve for x
    x = 76,976,462,441.34/257,807.40
  6. Step 6: Final answer
    x = 298,581.28

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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.