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Finding the Fourth Proportional to 288,522.54, 398,272.21 and 258,254.46

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Solution

The fourth proportional to 288,522.54, 398,272.21 and 258,254.46 is: 356,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,522.54 : 398,272.21 = 258,254.46 : x
  2. Step 2: Convert to fraction form
    288,522.54/398,272.21 = 258,254.46/x
  3. Step 3: Cross multiply
    288,522.54x = 398,272.21 × 258,254.46
  4. Step 4: Simplify right side
    288,522.54x = 102,855,573,880.92
  5. Step 5: Solve for x
    x = 102,855,573,880.92/288,522.54
  6. Step 6: Final answer
    x = 356,490.60

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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.