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Finding the Fourth Proportional to 659,870.81, 989,794.05 and 210,588.11

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Solution

The fourth proportional to 659,870.81, 989,794.05 and 210,588.11 is: 315,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,870.81 : 989,794.05 = 210,588.11 : x
  2. Step 2: Convert to fraction form
    659,870.81/989,794.05 = 210,588.11/x
  3. Step 3: Cross multiply
    659,870.81x = 989,794.05 × 210,588.11
  4. Step 4: Simplify right side
    659,870.81x = 208,438,853,329.78
  5. Step 5: Solve for x
    x = 208,438,853,329.78/659,870.81
  6. Step 6: Final answer
    x = 315,878.28

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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.