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Finding the Fourth Proportional to 413,684.15, 570,908.51 and 311,529.38

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Solution

The fourth proportional to 413,684.15, 570,908.51 and 311,529.38 is: 429,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,684.15 : 570,908.51 = 311,529.38 : x
  2. Step 2: Convert to fraction form
    413,684.15/570,908.51 = 311,529.38/x
  3. Step 3: Cross multiply
    413,684.15x = 570,908.51 × 311,529.38
  4. Step 4: Simplify right side
    413,684.15x = 177,854,772,599.38
  5. Step 5: Solve for x
    x = 177,854,772,599.38/413,684.15
  6. Step 6: Final answer
    x = 429,928.90

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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.