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Finding the Fourth Proportional to 256,122.40, 384,132.40 and 123,002.40

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Solution

The fourth proportional to 256,122.40, 384,132.40 and 123,002.40 is: 184,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,122.40 : 384,132.40 = 123,002.40 : x
  2. Step 2: Convert to fraction form
    256,122.40/384,132.40 = 123,002.40/x
  3. Step 3: Cross multiply
    256,122.40x = 384,132.40 × 123,002.40
  4. Step 4: Simplify right side
    256,122.40x = 47,249,207,117.76
  5. Step 5: Solve for x
    x = 47,249,207,117.76/256,122.40
  6. Step 6: Final answer
    x = 184,479.01

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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.