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Finding the Fourth Proportional to 316,838.60, 475,345.98 and 257,527.40

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Solution

The fourth proportional to 316,838.60, 475,345.98 and 257,527.40 is: 386,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,838.60 : 475,345.98 = 257,527.40 : x
  2. Step 2: Convert to fraction form
    316,838.60/475,345.98 = 257,527.40/x
  3. Step 3: Cross multiply
    316,838.60x = 475,345.98 × 257,527.40
  4. Step 4: Simplify right side
    316,838.60x = 122,414,614,329.85
  5. Step 5: Solve for x
    x = 122,414,614,329.85/316,838.60
  6. Step 6: Final answer
    x = 386,362.69

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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.