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Finding the Fourth Proportional to 473,869.48, 710,404.38 and 221,016.76

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Solution

The fourth proportional to 473,869.48, 710,404.38 and 221,016.76 is: 331,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,869.48 : 710,404.38 = 221,016.76 : x
  2. Step 2: Convert to fraction form
    473,869.48/710,404.38 = 221,016.76/x
  3. Step 3: Cross multiply
    473,869.48x = 710,404.38 × 221,016.76
  4. Step 4: Simplify right side
    473,869.48x = 157,011,274,357.41
  5. Step 5: Solve for x
    x = 157,011,274,357.41/473,869.48
  6. Step 6: Final answer
    x = 331,338.65

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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.