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Finding the Fourth Proportional to 478,111.30, 717,244.78 and 141,186

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Solution

The fourth proportional to 478,111.30, 717,244.78 and 141,186 is: 211,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,111.30 : 717,244.78 = 141,186 : x
  2. Step 2: Convert to fraction form
    478,111.30/717,244.78 = 141,186/x
  3. Step 3: Cross multiply
    478,111.30x = 717,244.78 × 141,186
  4. Step 4: Simplify right side
    478,111.30x = 101,264,921,509.08
  5. Step 5: Solve for x
    x = 101,264,921,509.08/478,111.30
  6. Step 6: Final answer
    x = 211,801.98

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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.