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Finding the Fourth Proportional to 291,640.80, 402,464.22 and 157,504.80

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Solution

The fourth proportional to 291,640.80, 402,464.22 and 157,504.80 is: 217,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,640.80 : 402,464.22 = 157,504.80 : x
  2. Step 2: Convert to fraction form
    291,640.80/402,464.22 = 157,504.80/x
  3. Step 3: Cross multiply
    291,640.80x = 402,464.22 × 157,504.80
  4. Step 4: Simplify right side
    291,640.80x = 63,390,046,478.26
  5. Step 5: Solve for x
    x = 63,390,046,478.26/291,640.80
  6. Step 6: Final answer
    x = 217,356.58

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1.5x scale

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.