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Finding the Fourth Proportional to 275,621.60, 413,038.80 and 157,042.40

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Solution

The fourth proportional to 275,621.60, 413,038.80 and 157,042.40 is: 235,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,621.60 : 413,038.80 = 157,042.40 : x
  2. Step 2: Convert to fraction form
    275,621.60/413,038.80 = 157,042.40/x
  3. Step 3: Cross multiply
    275,621.60x = 413,038.80 × 157,042.40
  4. Step 4: Simplify right side
    275,621.60x = 64,864,604,445.12
  5. Step 5: Solve for x
    x = 64,864,604,445.12/275,621.60
  6. Step 6: Final answer
    x = 235,339.34

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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.