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Finding the Fourth Proportional to 257,416.10, 386,124.15 and 239,920.10

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Solution

The fourth proportional to 257,416.10, 386,124.15 and 239,920.10 is: 359,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416.10 : 386,124.15 = 239,920.10 : x
  2. Step 2: Convert to fraction form
    257,416.10/386,124.15 = 239,920.10/x
  3. Step 3: Cross multiply
    257,416.10x = 386,124.15 × 239,920.10
  4. Step 4: Simplify right side
    257,416.10x = 92,638,944,680.42
  5. Step 5: Solve for x
    x = 92,638,944,680.42/257,416.10
  6. Step 6: Final answer
    x = 359,880.15

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1.5x scale

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.