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Finding the Fourth Proportional to 305,314.40, 457,964.40 and 83,698.40

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Solution

The fourth proportional to 305,314.40, 457,964.40 and 83,698.40 is: 125,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,314.40 : 457,964.40 = 83,698.40 : x
  2. Step 2: Convert to fraction form
    305,314.40/457,964.40 = 83,698.40/x
  3. Step 3: Cross multiply
    305,314.40x = 457,964.40 × 83,698.40
  4. Step 4: Simplify right side
    305,314.40x = 38,330,887,536.96
  5. Step 5: Solve for x
    x = 38,330,887,536.96/305,314.40
  6. Step 6: Final answer
    x = 125,545.63

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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.