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Finding the Fourth Proportional to 231,484.16, 319,454.88 and 130,880

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Solution

The fourth proportional to 231,484.16, 319,454.88 and 130,880 is: 180,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,484.16 : 319,454.88 = 130,880 : x
  2. Step 2: Convert to fraction form
    231,484.16/319,454.88 = 130,880/x
  3. Step 3: Cross multiply
    231,484.16x = 319,454.88 × 130,880
  4. Step 4: Simplify right side
    231,484.16x = 41,810,254,694.40
  5. Step 5: Solve for x
    x = 41,810,254,694.40/231,484.16
  6. Step 6: Final answer
    x = 180,618.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.