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Finding the Fourth Proportional to 255,048.30, 382,244.40 and 155,102.40

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Solution

The fourth proportional to 255,048.30, 382,244.40 and 155,102.40 is: 232,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,048.30 : 382,244.40 = 155,102.40 : x
  2. Step 2: Convert to fraction form
    255,048.30/382,244.40 = 155,102.40/x
  3. Step 3: Cross multiply
    255,048.30x = 382,244.40 × 155,102.40
  4. Step 4: Simplify right side
    255,048.30x = 59,287,023,826.56
  5. Step 5: Solve for x
    x = 59,287,023,826.56/255,048.30
  6. Step 6: Final answer
    x = 232,454.10

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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.