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Finding the Fourth Proportional to 653,055.78, 979,398.18 and 253,611.30

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Solution

The fourth proportional to 653,055.78, 979,398.18 and 253,611.30 is: 380,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,055.78 : 979,398.18 = 253,611.30 : x
  2. Step 2: Convert to fraction form
    653,055.78/979,398.18 = 253,611.30/x
  3. Step 3: Cross multiply
    653,055.78x = 979,398.18 × 253,611.30
  4. Step 4: Simplify right side
    653,055.78x = 248,386,445,647.43
  5. Step 5: Solve for x
    x = 248,386,445,647.43/653,055.78
  6. Step 6: Final answer
    x = 380,344.92

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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.