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Finding the Fourth Proportional to 288,308.68, 398,052.98 and 258,041.48

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Solution

The fourth proportional to 288,308.68, 398,052.98 and 258,041.48 is: 356,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,308.68 : 398,052.98 = 258,041.48 : x
  2. Step 2: Convert to fraction form
    288,308.68/398,052.98 = 258,041.48/x
  3. Step 3: Cross multiply
    288,308.68x = 398,052.98 × 258,041.48
  4. Step 4: Simplify right side
    288,308.68x = 102,714,180,077.61
  5. Step 5: Solve for x
    x = 102,714,180,077.61/288,308.68
  6. Step 6: Final answer
    x = 356,264.61

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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.