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Finding the Fourth Proportional to 515,431.40, 711,319.28 and 321,953.66

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Solution

The fourth proportional to 515,431.40, 711,319.28 and 321,953.66 is: 444,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,431.40 : 711,319.28 = 321,953.66 : x
  2. Step 2: Convert to fraction form
    515,431.40/711,319.28 = 321,953.66/x
  3. Step 3: Cross multiply
    515,431.40x = 711,319.28 × 321,953.66
  4. Step 4: Simplify right side
    515,431.40x = 229,011,845,624.57
  5. Step 5: Solve for x
    x = 229,011,845,624.57/515,431.40
  6. Step 6: Final answer
    x = 444,311.01

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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.