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Finding the Fourth Proportional to 256,923.48, 385,155.56 and 200,455.14

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Solution

The fourth proportional to 256,923.48, 385,155.56 and 200,455.14 is: 300,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,923.48 : 385,155.56 = 200,455.14 : x
  2. Step 2: Convert to fraction form
    256,923.48/385,155.56 = 200,455.14/x
  3. Step 3: Cross multiply
    256,923.48x = 385,155.56 × 200,455.14
  4. Step 4: Simplify right side
    256,923.48x = 77,206,411,701.58
  5. Step 5: Solve for x
    x = 77,206,411,701.58/256,923.48
  6. Step 6: Final answer
    x = 300,503.53

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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.