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Finding the Fourth Proportional to 306,312.13, 422,650.05 and 185,464.66

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Solution

The fourth proportional to 306,312.13, 422,650.05 and 185,464.66 is: 255,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,312.13 : 422,650.05 = 185,464.66 : x
  2. Step 2: Convert to fraction form
    306,312.13/422,650.05 = 185,464.66/x
  3. Step 3: Cross multiply
    306,312.13x = 422,650.05 × 185,464.66
  4. Step 4: Simplify right side
    306,312.13x = 78,386,649,094.53
  5. Step 5: Solve for x
    x = 78,386,649,094.53/306,312.13
  6. Step 6: Final answer
    x = 255,904.49

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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.