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Finding the Fourth Proportional to 228,502.83, 315,236.16 and 137,807.22

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Solution

The fourth proportional to 228,502.83, 315,236.16 and 137,807.22 is: 190,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,502.83 : 315,236.16 = 137,807.22 : x
  2. Step 2: Convert to fraction form
    228,502.83/315,236.16 = 137,807.22/x
  3. Step 3: Cross multiply
    228,502.83x = 315,236.16 × 137,807.22
  4. Step 4: Simplify right side
    228,502.83x = 43,441,818,853.08
  5. Step 5: Solve for x
    x = 43,441,818,853.08/228,502.83
  6. Step 6: Final answer
    x = 190,115.01

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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.