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Finding the Fourth Proportional to 314,856.80, 472,285.20 and 311,904.35

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Solution

The fourth proportional to 314,856.80, 472,285.20 and 311,904.35 is: 467,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,856.80 : 472,285.20 = 311,904.35 : x
  2. Step 2: Convert to fraction form
    314,856.80/472,285.20 = 311,904.35/x
  3. Step 3: Cross multiply
    314,856.80x = 472,285.20 × 311,904.35
  4. Step 4: Simplify right side
    314,856.80x = 147,307,808,320.62
  5. Step 5: Solve for x
    x = 147,307,808,320.62/314,856.80
  6. Step 6: Final answer
    x = 467,856.53

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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.