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Finding the Fourth Proportional to 708,122.70, 977,213.70 and 421,654.86

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Solution

The fourth proportional to 708,122.70, 977,213.70 and 421,654.86 is: 581,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,122.70 : 977,213.70 = 421,654.86 : x
  2. Step 2: Convert to fraction form
    708,122.70/977,213.70 = 421,654.86/x
  3. Step 3: Cross multiply
    708,122.70x = 977,213.70 × 421,654.86
  4. Step 4: Simplify right side
    708,122.70x = 412,046,905,863.58
  5. Step 5: Solve for x
    x = 412,046,905,863.58/708,122.70
  6. Step 6: Final answer
    x = 581,886.31

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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.