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Finding the Fourth Proportional to 614,708.57, 921,979.81 and 165,456.40

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Solution

The fourth proportional to 614,708.57, 921,979.81 and 165,456.40 is: 248,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,708.57 : 921,979.81 = 165,456.40 : x
  2. Step 2: Convert to fraction form
    614,708.57/921,979.81 = 165,456.40/x
  3. Step 3: Cross multiply
    614,708.57x = 921,979.81 × 165,456.40
  4. Step 4: Simplify right side
    614,708.57x = 152,547,455,511.01
  5. Step 5: Solve for x
    x = 152,547,455,511.01/614,708.57
  6. Step 6: Final answer
    x = 248,162.24

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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.