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Finding the Fourth Proportional to 314,855.80, 472,283.70 and 311,903.35

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Solution

The fourth proportional to 314,855.80, 472,283.70 and 311,903.35 is: 467,855.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,855.80 : 472,283.70 = 311,903.35 : x
  2. Step 2: Convert to fraction form
    314,855.80/472,283.70 = 311,903.35/x
  3. Step 3: Cross multiply
    314,855.80x = 472,283.70 × 311,903.35
  4. Step 4: Simplify right side
    314,855.80x = 147,306,868,180.40
  5. Step 5: Solve for x
    x = 147,306,868,180.40/314,855.80
  6. Step 6: Final answer
    x = 467,855.03

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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.