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Finding the Fourth Proportional to 307,792.30, 460,638.15 and 257,928.70

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Solution

The fourth proportional to 307,792.30, 460,638.15 and 257,928.70 is: 386,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,792.30 : 460,638.15 = 257,928.70 : x
  2. Step 2: Convert to fraction form
    307,792.30/460,638.15 = 257,928.70/x
  3. Step 3: Cross multiply
    307,792.30x = 460,638.15 × 257,928.70
  4. Step 4: Simplify right side
    307,792.30x = 118,811,799,199.91
  5. Step 5: Solve for x
    x = 118,811,799,199.91/307,792.30
  6. Step 6: Final answer
    x = 386,012.90

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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.