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Finding the Fourth Proportional to 413,683.65, 570,907.82 and 311,528.88

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Solution

The fourth proportional to 413,683.65, 570,907.82 and 311,528.88 is: 429,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,683.65 : 570,907.82 = 311,528.88 : x
  2. Step 2: Convert to fraction form
    413,683.65/570,907.82 = 311,528.88/x
  3. Step 3: Cross multiply
    413,683.65x = 570,907.82 × 311,528.88
  4. Step 4: Simplify right side
    413,683.65x = 177,854,272,190.20
  5. Step 5: Solve for x
    x = 177,854,272,190.20/413,683.65
  6. Step 6: Final answer
    x = 429,928.21

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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.