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Finding the Fourth Proportional to 287,563.20, 431,392.32 and 129,788.16

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Solution

The fourth proportional to 287,563.20, 431,392.32 and 129,788.16 is: 194,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,563.20 : 431,392.32 = 129,788.16 : x
  2. Step 2: Convert to fraction form
    287,563.20/431,392.32 = 129,788.16/x
  3. Step 3: Cross multiply
    287,563.20x = 431,392.32 × 129,788.16
  4. Step 4: Simplify right side
    287,563.20x = 55,989,615,450.93
  5. Step 5: Solve for x
    x = 55,989,615,450.93/287,563.20
  6. Step 6: Final answer
    x = 194,703.69

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1.5x scale

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.