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Finding the Fourth Proportional to 708,086.70, 977,164.02 and 421,618.86

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Solution

The fourth proportional to 708,086.70, 977,164.02 and 421,618.86 is: 581,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,086.70 : 977,164.02 = 421,618.86 : x
  2. Step 2: Convert to fraction form
    708,086.70/977,164.02 = 421,618.86/x
  3. Step 3: Cross multiply
    708,086.70x = 977,164.02 × 421,618.86
  4. Step 4: Simplify right side
    708,086.70x = 411,990,780,145.42
  5. Step 5: Solve for x
    x = 411,990,780,145.42/708,086.70
  6. Step 6: Final answer
    x = 581,836.63

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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.