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Finding the Fourth Proportional to 256,011.40, 384,017.10 and 89,816.20

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Solution

The fourth proportional to 256,011.40, 384,017.10 and 89,816.20 is: 134,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,011.40 : 384,017.10 = 89,816.20 : x
  2. Step 2: Convert to fraction form
    256,011.40/384,017.10 = 89,816.20/x
  3. Step 3: Cross multiply
    256,011.40x = 384,017.10 × 89,816.20
  4. Step 4: Simplify right side
    256,011.40x = 34,490,956,657.02
  5. Step 5: Solve for x
    x = 34,490,956,657.02/256,011.40
  6. Step 6: Final answer
    x = 134,724.30

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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.