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Finding the Fourth Proportional to 270,972, 406,555.74 and 144,479.16

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Solution

The fourth proportional to 270,972, 406,555.74 and 144,479.16 is: 216,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,972 : 406,555.74 = 144,479.16 : x
  2. Step 2: Convert to fraction form
    270,972/406,555.74 = 144,479.16/x
  3. Step 3: Cross multiply
    270,972x = 406,555.74 × 144,479.16
  4. Step 4: Simplify right side
    270,972x = 58,738,831,808.38
  5. Step 5: Solve for x
    x = 58,738,831,808.38/270,972
  6. Step 6: Final answer
    x = 216,770.85

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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.