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Finding the Fourth Proportional to 707,820.89, 977,006.27 and 481,597.61

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Solution

The fourth proportional to 707,820.89, 977,006.27 and 481,597.61 is: 664,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,820.89 : 977,006.27 = 481,597.61 : x
  2. Step 2: Convert to fraction form
    707,820.89/977,006.27 = 481,597.61/x
  3. Step 3: Cross multiply
    707,820.89x = 977,006.27 × 481,597.61
  4. Step 4: Simplify right side
    707,820.89x = 470,523,880,905.98
  5. Step 5: Solve for x
    x = 470,523,880,905.98/707,820.89
  6. Step 6: Final answer
    x = 664,749.93

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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.