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Finding the Fourth Proportional to 678,086.16, 935,887.80 and 448,648.08

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Solution

The fourth proportional to 678,086.16, 935,887.80 and 448,648.08 is: 619,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,086.16 : 935,887.80 = 448,648.08 : x
  2. Step 2: Convert to fraction form
    678,086.16/935,887.80 = 448,648.08/x
  3. Step 3: Cross multiply
    678,086.16x = 935,887.80 × 448,648.08
  4. Step 4: Simplify right side
    678,086.16x = 419,884,264,565.42
  5. Step 5: Solve for x
    x = 419,884,264,565.42/678,086.16
  6. Step 6: Final answer
    x = 619,219.64

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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.