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Finding the Fourth Proportional to 635,057.32, 877,106.45 and 418,235.24

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Solution

The fourth proportional to 635,057.32, 877,106.45 and 418,235.24 is: 577,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,057.32 : 877,106.45 = 418,235.24 : x
  2. Step 2: Convert to fraction form
    635,057.32/877,106.45 = 418,235.24/x
  3. Step 3: Cross multiply
    635,057.32x = 877,106.45 × 418,235.24
  4. Step 4: Simplify right side
    635,057.32x = 366,836,820,144.59
  5. Step 5: Solve for x
    x = 366,836,820,144.59/635,057.32
  6. Step 6: Final answer
    x = 577,643.64

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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.