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Finding the Fourth Proportional to 408,853.50, 564,223.17 and 225,113.45

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Solution

The fourth proportional to 408,853.50, 564,223.17 and 225,113.45 is: 310,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,853.50 : 564,223.17 = 225,113.45 : x
  2. Step 2: Convert to fraction form
    408,853.50/564,223.17 = 225,113.45/x
  3. Step 3: Cross multiply
    408,853.50x = 564,223.17 × 225,113.45
  4. Step 4: Simplify right side
    408,853.50x = 127,014,221,547.52
  5. Step 5: Solve for x
    x = 127,014,221,547.52/408,853.50
  6. Step 6: Final answer
    x = 310,659.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.