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Finding the Fourth Proportional to 540,963.90, 746,465.14 and 311,595.79

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Solution

The fourth proportional to 540,963.90, 746,465.14 and 311,595.79 is: 429,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,963.90 : 746,465.14 = 311,595.79 : x
  2. Step 2: Convert to fraction form
    540,963.90/746,465.14 = 311,595.79/x
  3. Step 3: Cross multiply
    540,963.90x = 746,465.14 × 311,595.79
  4. Step 4: Simplify right side
    540,963.90x = 232,595,391,076.56
  5. Step 5: Solve for x
    x = 232,595,391,076.56/540,963.90
  6. Step 6: Final answer
    x = 429,964.72

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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.