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Finding the Fourth Proportional to 559,218.98, 771,722.14 and 304,570.16

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Solution

The fourth proportional to 559,218.98, 771,722.14 and 304,570.16 is: 420,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,218.98 : 771,722.14 = 304,570.16 : x
  2. Step 2: Convert to fraction form
    559,218.98/771,722.14 = 304,570.16/x
  3. Step 3: Cross multiply
    559,218.98x = 771,722.14 × 304,570.16
  4. Step 4: Simplify right side
    559,218.98x = 235,043,535,655.34
  5. Step 5: Solve for x
    x = 235,043,535,655.34/559,218.98
  6. Step 6: Final answer
    x = 420,306.79

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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.