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Finding the Fourth Proportional to 204,328.90, 306,493.35 and 147,904.30

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Solution

The fourth proportional to 204,328.90, 306,493.35 and 147,904.30 is: 221,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,328.90 : 306,493.35 = 147,904.30 : x
  2. Step 2: Convert to fraction form
    204,328.90/306,493.35 = 147,904.30/x
  3. Step 3: Cross multiply
    204,328.90x = 306,493.35 × 147,904.30
  4. Step 4: Simplify right side
    204,328.90x = 45,331,684,386.41
  5. Step 5: Solve for x
    x = 45,331,684,386.41/204,328.90
  6. Step 6: Final answer
    x = 221,856.45

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1.5x scale

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.