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Finding the Fourth Proportional to 265,621.50, 398,510.28 and 78,637.86

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Solution

The fourth proportional to 265,621.50, 398,510.28 and 78,637.86 is: 117,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,621.50 : 398,510.28 = 78,637.86 : x
  2. Step 2: Convert to fraction form
    265,621.50/398,510.28 = 78,637.86/x
  3. Step 3: Cross multiply
    265,621.50x = 398,510.28 × 78,637.86
  4. Step 4: Simplify right side
    265,621.50x = 31,337,995,607.20
  5. Step 5: Solve for x
    x = 31,337,995,607.20/265,621.50
  6. Step 6: Final answer
    x = 117,979.89

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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.