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Finding the Fourth Proportional to 288,534.32, 398,288.43 and 258,266.24

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Solution

The fourth proportional to 288,534.32, 398,288.43 and 258,266.24 is: 356,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,534.32 : 398,288.43 = 258,266.24 : x
  2. Step 2: Convert to fraction form
    288,534.32/398,288.43 = 258,266.24/x
  3. Step 3: Cross multiply
    288,534.32x = 398,288.43 × 258,266.24
  4. Step 4: Simplify right side
    288,534.32x = 102,864,451,968.83
  5. Step 5: Solve for x
    x = 102,864,451,968.83/288,534.32
  6. Step 6: Final answer
    x = 356,506.82

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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.