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Finding the Fourth Proportional to 256,362.72, 353,720.16 and 148,869.12

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Solution

The fourth proportional to 256,362.72, 353,720.16 and 148,869.12 is: 205,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,362.72 : 353,720.16 = 148,869.12 : x
  2. Step 2: Convert to fraction form
    256,362.72/353,720.16 = 148,869.12/x
  3. Step 3: Cross multiply
    256,362.72x = 353,720.16 × 148,869.12
  4. Step 4: Simplify right side
    256,362.72x = 52,658,008,945.46
  5. Step 5: Solve for x
    x = 52,658,008,945.46/256,362.72
  6. Step 6: Final answer
    x = 205,404.32

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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.