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Finding the Fourth Proportional to 522,827.40, 783,204.30 and 311,838.60

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Solution

The fourth proportional to 522,827.40, 783,204.30 and 311,838.60 is: 467,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,827.40 : 783,204.30 = 311,838.60 : x
  2. Step 2: Convert to fraction form
    522,827.40/783,204.30 = 311,838.60/x
  3. Step 3: Cross multiply
    522,827.40x = 783,204.30 × 311,838.60
  4. Step 4: Simplify right side
    522,827.40x = 244,233,332,425.98
  5. Step 5: Solve for x
    x = 244,233,332,425.98/522,827.40
  6. Step 6: Final answer
    x = 467,139.50

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1.5x scale

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.