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Finding the Fourth Proportional to 315,296.83, 435,118.80 and 172,066.08

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Solution

The fourth proportional to 315,296.83, 435,118.80 and 172,066.08 is: 237,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,296.83 : 435,118.80 = 172,066.08 : x
  2. Step 2: Convert to fraction form
    315,296.83/435,118.80 = 172,066.08/x
  3. Step 3: Cross multiply
    315,296.83x = 435,118.80 × 172,066.08
  4. Step 4: Simplify right side
    315,296.83x = 74,869,186,250.30
  5. Step 5: Solve for x
    x = 74,869,186,250.30/315,296.83
  6. Step 6: Final answer
    x = 237,456.20

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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.