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Finding the Fourth Proportional to 646,079.16, 969,334.56 and 286,201.16

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Solution

The fourth proportional to 646,079.16, 969,334.56 and 286,201.16 is: 429,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,079.16 : 969,334.56 = 286,201.16 : x
  2. Step 2: Convert to fraction form
    646,079.16/969,334.56 = 286,201.16/x
  3. Step 3: Cross multiply
    646,079.16x = 969,334.56 × 286,201.16
  4. Step 4: Simplify right side
    646,079.16x = 277,424,675,500.09
  5. Step 5: Solve for x
    x = 277,424,675,500.09/646,079.16
  6. Step 6: Final answer
    x = 429,397.34

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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.