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Finding the Fourth Proportional to 471,258.56, 650,088.84 and 280,136

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Solution

The fourth proportional to 471,258.56, 650,088.84 and 280,136 is: 386,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,258.56 : 650,088.84 = 280,136 : x
  2. Step 2: Convert to fraction form
    471,258.56/650,088.84 = 280,136/x
  3. Step 3: Cross multiply
    471,258.56x = 650,088.84 × 280,136
  4. Step 4: Simplify right side
    471,258.56x = 182,113,287,282.24
  5. Step 5: Solve for x
    x = 182,113,287,282.24/471,258.56
  6. Step 6: Final answer
    x = 386,440.27

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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.