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Finding the Fourth Proportional to 514,362.96, 771,262.56 and 159,278.40

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Solution

The fourth proportional to 514,362.96, 771,262.56 and 159,278.40 is: 238,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,362.96 : 771,262.56 = 159,278.40 : x
  2. Step 2: Convert to fraction form
    514,362.96/771,262.56 = 159,278.40/x
  3. Step 3: Cross multiply
    514,362.96x = 771,262.56 × 159,278.40
  4. Step 4: Simplify right side
    514,362.96x = 122,845,466,536.70
  5. Step 5: Solve for x
    x = 122,845,466,536.70/514,362.96
  6. Step 6: Final answer
    x = 238,830.31

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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.