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Finding the Fourth Proportional to 213,302.80, 319,565.40 and 173,645.20

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Solution

The fourth proportional to 213,302.80, 319,565.40 and 173,645.20 is: 260,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,302.80 : 319,565.40 = 173,645.20 : x
  2. Step 2: Convert to fraction form
    213,302.80/319,565.40 = 173,645.20/x
  3. Step 3: Cross multiply
    213,302.80x = 319,565.40 × 173,645.20
  4. Step 4: Simplify right side
    213,302.80x = 55,490,997,796.08
  5. Step 5: Solve for x
    x = 55,490,997,796.08/213,302.80
  6. Step 6: Final answer
    x = 260,151.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.