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Finding the Fourth Proportional to 263,155.10, 363,156.10 and 145,285.74

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Solution

The fourth proportional to 263,155.10, 363,156.10 and 145,285.74 is: 200,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,155.10 : 363,156.10 = 145,285.74 : x
  2. Step 2: Convert to fraction form
    263,155.10/363,156.10 = 145,285.74/x
  3. Step 3: Cross multiply
    263,155.10x = 363,156.10 × 145,285.74
  4. Step 4: Simplify right side
    263,155.10x = 52,761,402,724.01
  5. Step 5: Solve for x
    x = 52,761,402,724.01/263,155.10
  6. Step 6: Final answer
    x = 200,495.46

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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.