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Finding the Fourth Proportional to 257,411.70, 386,117.55 and 212,796.90

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Solution

The fourth proportional to 257,411.70, 386,117.55 and 212,796.90 is: 319,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.70 : 386,117.55 = 212,796.90 : x
  2. Step 2: Convert to fraction form
    257,411.70/386,117.55 = 212,796.90/x
  3. Step 3: Cross multiply
    257,411.70x = 386,117.55 × 212,796.90
  4. Step 4: Simplify right side
    257,411.70x = 82,164,617,675.60
  5. Step 5: Solve for x
    x = 82,164,617,675.60/257,411.70
  6. Step 6: Final answer
    x = 319,195.35

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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.