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Finding the Fourth Proportional to 540,801.86, 746,223.66 and 311,314.80

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Solution

The fourth proportional to 540,801.86, 746,223.66 and 311,314.80 is: 429,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,801.86 : 746,223.66 = 311,314.80 : x
  2. Step 2: Convert to fraction form
    540,801.86/746,223.66 = 311,314.80/x
  3. Step 3: Cross multiply
    540,801.86x = 746,223.66 × 311,314.80
  4. Step 4: Simplify right side
    540,801.86x = 232,310,469,468.17
  5. Step 5: Solve for x
    x = 232,310,469,468.17/540,801.86
  6. Step 6: Final answer
    x = 429,566.70

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1.5x scale

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.