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Finding the Fourth Proportional to 389,716.16, 537,808 and 210,868.16

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Solution

The fourth proportional to 389,716.16, 537,808 and 210,868.16 is: 290,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,716.16 : 537,808 = 210,868.16 : x
  2. Step 2: Convert to fraction form
    389,716.16/537,808 = 210,868.16/x
  3. Step 3: Cross multiply
    389,716.16x = 537,808 × 210,868.16
  4. Step 4: Simplify right side
    389,716.16x = 113,406,583,393.28
  5. Step 5: Solve for x
    x = 113,406,583,393.28/389,716.16
  6. Step 6: Final answer
    x = 290,997.90

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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.