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Finding the Fourth Proportional to 296,023.40, 442,868.70 and 257,013.80

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Solution

The fourth proportional to 296,023.40, 442,868.70 and 257,013.80 is: 384,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,023.40 : 442,868.70 = 257,013.80 : x
  2. Step 2: Convert to fraction form
    296,023.40/442,868.70 = 257,013.80/x
  3. Step 3: Cross multiply
    296,023.40x = 442,868.70 × 257,013.80
  4. Step 4: Simplify right side
    296,023.40x = 113,823,367,488.06
  5. Step 5: Solve for x
    x = 113,823,367,488.06/296,023.40
  6. Step 6: Final answer
    x = 384,508.01

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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.