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Finding the Fourth Proportional to 429,878.60, 644,206.83 and 316,668.54

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Solution

The fourth proportional to 429,878.60, 644,206.83 and 316,668.54 is: 474,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,878.60 : 644,206.83 = 316,668.54 : x
  2. Step 2: Convert to fraction form
    429,878.60/644,206.83 = 316,668.54/x
  3. Step 3: Cross multiply
    429,878.60x = 644,206.83 × 316,668.54
  4. Step 4: Simplify right side
    429,878.60x = 204,000,036,314.13
  5. Step 5: Solve for x
    x = 204,000,036,314.13/429,878.60
  6. Step 6: Final answer
    x = 474,552.67

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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.