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Finding the Fourth Proportional to 345,973.50, 477,443.43 and 186,997.50

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Solution

The fourth proportional to 345,973.50, 477,443.43 and 186,997.50 is: 258,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,973.50 : 477,443.43 = 186,997.50 : x
  2. Step 2: Convert to fraction form
    345,973.50/477,443.43 = 186,997.50/x
  3. Step 3: Cross multiply
    345,973.50x = 477,443.43 × 186,997.50
  4. Step 4: Simplify right side
    345,973.50x = 89,280,727,801.43
  5. Step 5: Solve for x
    x = 89,280,727,801.43/345,973.50
  6. Step 6: Final answer
    x = 258,056.55

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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.