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Finding the Fourth Proportional to 274,407.40, 411,870.30 and 169,431.40

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Solution

The fourth proportional to 274,407.40, 411,870.30 and 169,431.40 is: 254,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,407.40 : 411,870.30 = 169,431.40 : x
  2. Step 2: Convert to fraction form
    274,407.40/411,870.30 = 169,431.40/x
  3. Step 3: Cross multiply
    274,407.40x = 411,870.30 × 169,431.40
  4. Step 4: Simplify right side
    274,407.40x = 69,783,761,547.42
  5. Step 5: Solve for x
    x = 69,783,761,547.42/274,407.40
  6. Step 6: Final answer
    x = 254,307.14

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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.