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Finding the Fourth Proportional to 412,345.92, 618,323.40 and 159,744.72

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Solution

The fourth proportional to 412,345.92, 618,323.40 and 159,744.72 is: 239,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,345.92 : 618,323.40 = 159,744.72 : x
  2. Step 2: Convert to fraction form
    412,345.92/618,323.40 = 159,744.72/x
  3. Step 3: Cross multiply
    412,345.92x = 618,323.40 × 159,744.72
  4. Step 4: Simplify right side
    412,345.92x = 98,773,898,402.45
  5. Step 5: Solve for x
    x = 98,773,898,402.45/412,345.92
  6. Step 6: Final answer
    x = 239,541.35

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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.