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Finding the Fourth Proportional to 474,984.81, 712,506.38 and 208,870.65

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Solution

The fourth proportional to 474,984.81, 712,506.38 and 208,870.65 is: 313,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,984.81 : 712,506.38 = 208,870.65 : x
  2. Step 2: Convert to fraction form
    474,984.81/712,506.38 = 208,870.65/x
  3. Step 3: Cross multiply
    474,984.81x = 712,506.38 × 208,870.65
  4. Step 4: Simplify right side
    474,984.81x = 148,821,669,675.39
  5. Step 5: Solve for x
    x = 148,821,669,675.39/474,984.81
  6. Step 6: Final answer
    x = 313,318.80

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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.