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Finding the Fourth Proportional to 315,216.61, 472,774.16 and 90,525.94

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Solution

The fourth proportional to 315,216.61, 472,774.16 and 90,525.94 is: 135,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,216.61 : 472,774.16 = 90,525.94 : x
  2. Step 2: Convert to fraction form
    315,216.61/472,774.16 = 90,525.94/x
  3. Step 3: Cross multiply
    315,216.61x = 472,774.16 × 90,525.94
  4. Step 4: Simplify right side
    315,216.61x = 42,798,324,650.74
  5. Step 5: Solve for x
    x = 42,798,324,650.74/315,216.61
  6. Step 6: Final answer
    x = 135,774.33

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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.