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Finding the Fourth Proportional to 406,447, 560,889.30 and 225,154.92

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Solution

The fourth proportional to 406,447, 560,889.30 and 225,154.92 is: 310,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,447 : 560,889.30 = 225,154.92 : x
  2. Step 2: Convert to fraction form
    406,447/560,889.30 = 225,154.92/x
  3. Step 3: Cross multiply
    406,447x = 560,889.30 × 225,154.92
  4. Step 4: Simplify right side
    406,447x = 126,286,985,470.36
  5. Step 5: Solve for x
    x = 126,286,985,470.36/406,447
  6. Step 6: Final answer
    x = 310,709.60

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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.