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Finding the Fourth Proportional to 287,942, 397,360.32 and 160,625.72

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Solution

The fourth proportional to 287,942, 397,360.32 and 160,625.72 is: 221,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,942 : 397,360.32 = 160,625.72 : x
  2. Step 2: Convert to fraction form
    287,942/397,360.32 = 160,625.72/x
  3. Step 3: Cross multiply
    287,942x = 397,360.32 × 160,625.72
  4. Step 4: Simplify right side
    287,942x = 63,826,287,499.43
  5. Step 5: Solve for x
    x = 63,826,287,499.43/287,942
  6. Step 6: Final answer
    x = 221,663.69

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1.5x scale

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.