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Finding the Fourth Proportional to 431,878.12, 595,978.98 and 240,887.20

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Solution

The fourth proportional to 431,878.12, 595,978.98 and 240,887.20 is: 332,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,878.12 : 595,978.98 = 240,887.20 : x
  2. Step 2: Convert to fraction form
    431,878.12/595,978.98 = 240,887.20/x
  3. Step 3: Cross multiply
    431,878.12x = 595,978.98 × 240,887.20
  4. Step 4: Simplify right side
    431,878.12x = 143,563,707,751.06
  5. Step 5: Solve for x
    x = 143,563,707,751.06/431,878.12
  6. Step 6: Final answer
    x = 332,417.18

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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.