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Finding the Fourth Proportional to 287,734.40, 397,064.34 and 158,678.31

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Solution

The fourth proportional to 287,734.40, 397,064.34 and 158,678.31 is: 218,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,734.40 : 397,064.34 = 158,678.31 : x
  2. Step 2: Convert to fraction form
    287,734.40/397,064.34 = 158,678.31/x
  3. Step 3: Cross multiply
    287,734.40x = 397,064.34 × 158,678.31
  4. Step 4: Simplify right side
    287,734.40x = 63,005,498,432.47
  5. Step 5: Solve for x
    x = 63,005,498,432.47/287,734.40
  6. Step 6: Final answer
    x = 218,971.04

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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.