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Finding the Fourth Proportional to 651,776.40, 977,761.80 and 231,019.20

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Solution

The fourth proportional to 651,776.40, 977,761.80 and 231,019.20 is: 346,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,776.40 : 977,761.80 = 231,019.20 : x
  2. Step 2: Convert to fraction form
    651,776.40/977,761.80 = 231,019.20/x
  3. Step 3: Cross multiply
    651,776.40x = 977,761.80 × 231,019.20
  4. Step 4: Simplify right side
    651,776.40x = 225,881,748,826.56
  5. Step 5: Solve for x
    x = 225,881,748,826.56/651,776.40
  6. Step 6: Final answer
    x = 346,563.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.