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Finding the Fourth Proportional to 635,442.68, 877,107.48 and 409,088

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Solution

The fourth proportional to 635,442.68, 877,107.48 and 409,088 is: 564,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,442.68 : 877,107.48 = 409,088 : x
  2. Step 2: Convert to fraction form
    635,442.68/877,107.48 = 409,088/x
  3. Step 3: Cross multiply
    635,442.68x = 877,107.48 × 409,088
  4. Step 4: Simplify right side
    635,442.68x = 358,814,144,778.24
  5. Step 5: Solve for x
    x = 358,814,144,778.24/635,442.68
  6. Step 6: Final answer
    x = 564,668.00

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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.