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Finding the Fourth Proportional to 389,772, 537,885.36 and 210,924

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Solution

The fourth proportional to 389,772, 537,885.36 and 210,924 is: 291,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,772 : 537,885.36 = 210,924 : x
  2. Step 2: Convert to fraction form
    389,772/537,885.36 = 210,924/x
  3. Step 3: Cross multiply
    389,772x = 537,885.36 × 210,924
  4. Step 4: Simplify right side
    389,772x = 113,452,931,672.64
  5. Step 5: Solve for x
    x = 113,452,931,672.64/389,772
  6. Step 6: Final answer
    x = 291,075.12

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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.