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Finding the Fourth Proportional to 257,420.66, 386,148.27 and 70,433.78

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Solution

The fourth proportional to 257,420.66, 386,148.27 and 70,433.78 is: 105,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,420.66 : 386,148.27 = 70,433.78 : x
  2. Step 2: Convert to fraction form
    257,420.66/386,148.27 = 70,433.78/x
  3. Step 3: Cross multiply
    257,420.66x = 386,148.27 × 70,433.78
  4. Step 4: Simplify right side
    257,420.66x = 27,197,882,296.56
  5. Step 5: Solve for x
    x = 27,197,882,296.56/257,420.66
  6. Step 6: Final answer
    x = 105,655.40

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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.