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Finding the Fourth Proportional to 389,346, 537,297.60 and 210,498

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Solution

The fourth proportional to 389,346, 537,297.60 and 210,498 is: 290,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,346 : 537,297.60 = 210,498 : x
  2. Step 2: Convert to fraction form
    389,346/537,297.60 = 210,498/x
  3. Step 3: Cross multiply
    389,346x = 537,297.60 × 210,498
  4. Step 4: Simplify right side
    389,346x = 113,100,070,204.80
  5. Step 5: Solve for x
    x = 113,100,070,204.80/389,346
  6. Step 6: Final answer
    x = 290,487.30

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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.