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Finding the Fourth Proportional to 315,454.32, 473,249.52 and 90,813.24

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Solution

The fourth proportional to 315,454.32, 473,249.52 and 90,813.24 is: 136,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,454.32 : 473,249.52 = 90,813.24 : x
  2. Step 2: Convert to fraction form
    315,454.32/473,249.52 = 90,813.24/x
  3. Step 3: Cross multiply
    315,454.32x = 473,249.52 × 90,813.24
  4. Step 4: Simplify right side
    315,454.32x = 42,977,322,239.64
  5. Step 5: Solve for x
    x = 42,977,322,239.64/315,454.32
  6. Step 6: Final answer
    x = 136,239.45

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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.