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Finding the Fourth Proportional to 230,397.78, 345,643.71 and 130,602.54

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Solution

The fourth proportional to 230,397.78, 345,643.71 and 130,602.54 is: 195,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,397.78 : 345,643.71 = 130,602.54 : x
  2. Step 2: Convert to fraction form
    230,397.78/345,643.71 = 130,602.54/x
  3. Step 3: Cross multiply
    230,397.78x = 345,643.71 × 130,602.54
  4. Step 4: Simplify right side
    230,397.78x = 45,141,946,461.02
  5. Step 5: Solve for x
    x = 45,141,946,461.02/230,397.78
  6. Step 6: Final answer
    x = 195,930.47

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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.