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Finding the Fourth Proportional to 708,207.08, 977,211.42 and 421,719.80

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Solution

The fourth proportional to 708,207.08, 977,211.42 and 421,719.80 is: 581,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,207.08 : 977,211.42 = 421,719.80 : x
  2. Step 2: Convert to fraction form
    708,207.08/977,211.42 = 421,719.80/x
  3. Step 3: Cross multiply
    708,207.08x = 977,211.42 × 421,719.80
  4. Step 4: Simplify right side
    708,207.08x = 412,109,404,600.12
  5. Step 5: Solve for x
    x = 412,109,404,600.12/708,207.08
  6. Step 6: Final answer
    x = 581,905.23

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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.