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Finding the Fourth Proportional to 305,117.40, 457,805.70 and 147,264.60

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Solution

The fourth proportional to 305,117.40, 457,805.70 and 147,264.60 is: 220,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,117.40 : 457,805.70 = 147,264.60 : x
  2. Step 2: Convert to fraction form
    305,117.40/457,805.70 = 147,264.60/x
  3. Step 3: Cross multiply
    305,117.40x = 457,805.70 × 147,264.60
  4. Step 4: Simplify right side
    305,117.40x = 67,418,573,288.22
  5. Step 5: Solve for x
    x = 67,418,573,288.22/305,117.40
  6. Step 6: Final answer
    x = 220,959.45

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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.