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Finding the Fourth Proportional to 306,865, 460,303.26 and 85,254.76

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Solution

The fourth proportional to 306,865, 460,303.26 and 85,254.76 is: 127,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,865 : 460,303.26 = 85,254.76 : x
  2. Step 2: Convert to fraction form
    306,865/460,303.26 = 85,254.76/x
  3. Step 3: Cross multiply
    306,865x = 460,303.26 × 85,254.76
  4. Step 4: Simplify right side
    306,865x = 39,243,043,958.52
  5. Step 5: Solve for x
    x = 39,243,043,958.52/306,865
  6. Step 6: Final answer
    x = 127,883.74

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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.