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Finding the Fourth Proportional to 306,967.28, 460,450.92 and 289,641.20

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Solution

The fourth proportional to 306,967.28, 460,450.92 and 289,641.20 is: 434,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,967.28 : 460,450.92 = 289,641.20 : x
  2. Step 2: Convert to fraction form
    306,967.28/460,450.92 = 289,641.20/x
  3. Step 3: Cross multiply
    306,967.28x = 460,450.92 × 289,641.20
  4. Step 4: Simplify right side
    306,967.28x = 133,365,557,009.90
  5. Step 5: Solve for x
    x = 133,365,557,009.90/306,967.28
  6. Step 6: Final answer
    x = 434,461.80

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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.