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Finding the Fourth Proportional to 558,698.14, 771,020.82 and 316,990.90

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Solution

The fourth proportional to 558,698.14, 771,020.82 and 316,990.90 is: 437,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,698.14 : 771,020.82 = 316,990.90 : x
  2. Step 2: Convert to fraction form
    558,698.14/771,020.82 = 316,990.90/x
  3. Step 3: Cross multiply
    558,698.14x = 771,020.82 × 316,990.90
  4. Step 4: Simplify right side
    558,698.14x = 244,406,583,650.54
  5. Step 5: Solve for x
    x = 244,406,583,650.54/558,698.14
  6. Step 6: Final answer
    x = 437,457.31

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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.