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Finding the Fourth Proportional to 614,318.57, 921,415.58 and 164,981.06

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Solution

The fourth proportional to 614,318.57, 921,415.58 and 164,981.06 is: 247,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,318.57 : 921,415.58 = 164,981.06 : x
  2. Step 2: Convert to fraction form
    614,318.57/921,415.58 = 164,981.06/x
  3. Step 3: Cross multiply
    614,318.57x = 921,415.58 × 164,981.06
  4. Step 4: Simplify right side
    614,318.57x = 152,016,118,264.01
  5. Step 5: Solve for x
    x = 152,016,118,264.01/614,318.57
  6. Step 6: Final answer
    x = 247,454.87

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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.