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Finding the Fourth Proportional to 389,417.75, 537,396.50 and 210,569.75

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Solution

The fourth proportional to 389,417.75, 537,396.50 and 210,569.75 is: 290,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,417.75 : 537,396.50 = 210,569.75 : x
  2. Step 2: Convert to fraction form
    389,417.75/537,396.50 = 210,569.75/x
  3. Step 3: Cross multiply
    389,417.75x = 537,396.50 × 210,569.75
  4. Step 4: Simplify right side
    389,417.75x = 113,159,446,655.88
  5. Step 5: Solve for x
    x = 113,159,446,655.88/389,417.75
  6. Step 6: Final answer
    x = 290,586.26

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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.