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Finding the Fourth Proportional to 274,478.08, 411,659.40 and 77,440

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Solution

The fourth proportional to 274,478.08, 411,659.40 and 77,440 is: 116,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,478.08 : 411,659.40 = 77,440 : x
  2. Step 2: Convert to fraction form
    274,478.08/411,659.40 = 77,440/x
  3. Step 3: Cross multiply
    274,478.08x = 411,659.40 × 77,440
  4. Step 4: Simplify right side
    274,478.08x = 31,878,903,936
  5. Step 5: Solve for x
    x = 31,878,903,936/274,478.08
  6. Step 6: Final answer
    x = 116,143.72

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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.