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Finding the Fourth Proportional to 256,684.22, 385,091.93 and 98,870.30

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Solution

The fourth proportional to 256,684.22, 385,091.93 and 98,870.30 is: 148,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,684.22 : 385,091.93 = 98,870.30 : x
  2. Step 2: Convert to fraction form
    256,684.22/385,091.93 = 98,870.30/x
  3. Step 3: Cross multiply
    256,684.22x = 385,091.93 × 98,870.30
  4. Step 4: Simplify right side
    256,684.22x = 38,074,154,646.68
  5. Step 5: Solve for x
    x = 38,074,154,646.68/256,684.22
  6. Step 6: Final answer
    x = 148,330.72

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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.