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Finding the Fourth Proportional to 256,867.64, 385,411.74 and 99,206.82

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Solution

The fourth proportional to 256,867.64, 385,411.74 and 99,206.82 is: 148,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,867.64 : 385,411.74 = 99,206.82 : x
  2. Step 2: Convert to fraction form
    256,867.64/385,411.74 = 99,206.82/x
  3. Step 3: Cross multiply
    256,867.64x = 385,411.74 × 99,206.82
  4. Step 4: Simplify right side
    256,867.64x = 38,235,473,116.07
  5. Step 5: Solve for x
    x = 38,235,473,116.07/256,867.64
  6. Step 6: Final answer
    x = 148,852.82

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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.