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Finding the Fourth Proportional to 568,484.81, 784,488.48 and 313,830.53

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Solution

The fourth proportional to 568,484.81, 784,488.48 and 313,830.53 is: 433,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,484.81 : 784,488.48 = 313,830.53 : x
  2. Step 2: Convert to fraction form
    568,484.81/784,488.48 = 313,830.53/x
  3. Step 3: Cross multiply
    568,484.81x = 784,488.48 × 313,830.53
  4. Step 4: Simplify right side
    568,484.81x = 246,196,435,457.29
  5. Step 5: Solve for x
    x = 246,196,435,457.29/568,484.81
  6. Step 6: Final answer
    x = 433,074.78

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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.