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Finding the Fourth Proportional to 213,407.16, 320,111.88 and 63,646.24

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Solution

The fourth proportional to 213,407.16, 320,111.88 and 63,646.24 is: 95,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,407.16 : 320,111.88 = 63,646.24 : x
  2. Step 2: Convert to fraction form
    213,407.16/320,111.88 = 63,646.24/x
  3. Step 3: Cross multiply
    213,407.16x = 320,111.88 × 63,646.24
  4. Step 4: Simplify right side
    213,407.16x = 20,373,917,541.33
  5. Step 5: Solve for x
    x = 20,373,917,541.33/213,407.16
  6. Step 6: Final answer
    x = 95,469.70

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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.