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Finding the Fourth Proportional to 315,821.04, 435,953.88 and 194,982

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Solution

The fourth proportional to 315,821.04, 435,953.88 and 194,982 is: 269,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,821.04 : 435,953.88 = 194,982 : x
  2. Step 2: Convert to fraction form
    315,821.04/435,953.88 = 194,982/x
  3. Step 3: Cross multiply
    315,821.04x = 435,953.88 × 194,982
  4. Step 4: Simplify right side
    315,821.04x = 85,003,159,430.16
  5. Step 5: Solve for x
    x = 85,003,159,430.16/315,821.04
  6. Step 6: Final answer
    x = 269,149.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.