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Finding the Fourth Proportional to 375,587.12, 518,322.88 and 205,819.76

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Solution

The fourth proportional to 375,587.12, 518,322.88 and 205,819.76 is: 284,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,587.12 : 518,322.88 = 205,819.76 : x
  2. Step 2: Convert to fraction form
    375,587.12/518,322.88 = 205,819.76/x
  3. Step 3: Cross multiply
    375,587.12x = 518,322.88 × 205,819.76
  4. Step 4: Simplify right side
    375,587.12x = 106,681,090,764.11
  5. Step 5: Solve for x
    x = 106,681,090,764.11/375,587.12
  6. Step 6: Final answer
    x = 284,038.20

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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.