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Finding the Fourth Proportional to 313,909.40, 471,123.30 and 145,688.60

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Solution

The fourth proportional to 313,909.40, 471,123.30 and 145,688.60 is: 218,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,909.40 : 471,123.30 = 145,688.60 : x
  2. Step 2: Convert to fraction form
    313,909.40/471,123.30 = 145,688.60/x
  3. Step 3: Cross multiply
    313,909.40x = 471,123.30 × 145,688.60
  4. Step 4: Simplify right side
    313,909.40x = 68,637,294,004.38
  5. Step 5: Solve for x
    x = 68,637,294,004.38/313,909.40
  6. Step 6: Final answer
    x = 218,653.20

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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.