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Finding the Fourth Proportional to 431,305.48, 595,219.86 and 240,319

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Solution

The fourth proportional to 431,305.48, 595,219.86 and 240,319 is: 331,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,305.48 : 595,219.86 = 240,319 : x
  2. Step 2: Convert to fraction form
    431,305.48/595,219.86 = 240,319/x
  3. Step 3: Cross multiply
    431,305.48x = 595,219.86 × 240,319
  4. Step 4: Simplify right side
    431,305.48x = 143,042,641,535.34
  5. Step 5: Solve for x
    x = 143,042,641,535.34/431,305.48
  6. Step 6: Final answer
    x = 331,650.42

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1.5x scale

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.