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Finding the Fourth Proportional to 257,830.80, 386,746.20 and 204,686.70

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Solution

The fourth proportional to 257,830.80, 386,746.20 and 204,686.70 is: 307,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,830.80 : 386,746.20 = 204,686.70 : x
  2. Step 2: Convert to fraction form
    257,830.80/386,746.20 = 204,686.70/x
  3. Step 3: Cross multiply
    257,830.80x = 386,746.20 × 204,686.70
  4. Step 4: Simplify right side
    257,830.80x = 79,161,803,415.54
  5. Step 5: Solve for x
    x = 79,161,803,415.54/257,830.80
  6. Step 6: Final answer
    x = 307,030.05

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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.