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Finding the Fourth Proportional to 219,674.52, 329,541.30 and 77,486.40

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Solution

The fourth proportional to 219,674.52, 329,541.30 and 77,486.40 is: 116,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,674.52 : 329,541.30 = 77,486.40 : x
  2. Step 2: Convert to fraction form
    219,674.52/329,541.30 = 77,486.40/x
  3. Step 3: Cross multiply
    219,674.52x = 329,541.30 × 77,486.40
  4. Step 4: Simplify right side
    219,674.52x = 25,534,968,988.32
  5. Step 5: Solve for x
    x = 25,534,968,988.32/219,674.52
  6. Step 6: Final answer
    x = 116,240.01

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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.