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Finding the Fourth Proportional to 265,483.84, 398,263.20 and 99,256

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Solution

The fourth proportional to 265,483.84, 398,263.20 and 99,256 is: 148,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,483.84 : 398,263.20 = 99,256 : x
  2. Step 2: Convert to fraction form
    265,483.84/398,263.20 = 99,256/x
  3. Step 3: Cross multiply
    265,483.84x = 398,263.20 × 99,256
  4. Step 4: Simplify right side
    265,483.84x = 39,530,012,179.20
  5. Step 5: Solve for x
    x = 39,530,012,179.20/265,483.84
  6. Step 6: Final answer
    x = 148,898.00

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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.