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Finding the Fourth Proportional to 287,697.78, 397,019.22 and 160,373.04

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Solution

The fourth proportional to 287,697.78, 397,019.22 and 160,373.04 is: 221,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,697.78 : 397,019.22 = 160,373.04 : x
  2. Step 2: Convert to fraction form
    287,697.78/397,019.22 = 160,373.04/x
  3. Step 3: Cross multiply
    287,697.78x = 397,019.22 × 160,373.04
  4. Step 4: Simplify right side
    287,697.78x = 63,671,179,249.83
  5. Step 5: Solve for x
    x = 63,671,179,249.83/287,697.78
  6. Step 6: Final answer
    x = 221,312.72

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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.