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Finding the Fourth Proportional to 460,079.10, 634,938.16 and 278,806.88

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Solution

The fourth proportional to 460,079.10, 634,938.16 and 278,806.88 is: 384,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,079.10 : 634,938.16 = 278,806.88 : x
  2. Step 2: Convert to fraction form
    460,079.10/634,938.16 = 278,806.88/x
  3. Step 3: Cross multiply
    460,079.10x = 634,938.16 × 278,806.88
  4. Step 4: Simplify right side
    460,079.10x = 177,025,127,382.54
  5. Step 5: Solve for x
    x = 177,025,127,382.54/460,079.10
  6. Step 6: Final answer
    x = 384,771.07

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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.