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Finding the Fourth Proportional to 345,989.84, 477,466.44 and 187,013.84

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Solution

The fourth proportional to 345,989.84, 477,466.44 and 187,013.84 is: 258,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,989.84 : 477,466.44 = 187,013.84 : x
  2. Step 2: Convert to fraction form
    345,989.84/477,466.44 = 187,013.84/x
  3. Step 3: Cross multiply
    345,989.84x = 477,466.44 × 187,013.84
  4. Step 4: Simplify right side
    345,989.84x = 89,292,832,415.53
  5. Step 5: Solve for x
    x = 89,292,832,415.53/345,989.84
  6. Step 6: Final answer
    x = 258,079.35

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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.