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Finding the Fourth Proportional to 503,298, 754,947 and 129,321

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Solution

The fourth proportional to 503,298, 754,947 and 129,321 is: 193,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,298 : 754,947 = 129,321 : x
  2. Step 2: Convert to fraction form
    503,298/754,947 = 129,321/x
  3. Step 3: Cross multiply
    503,298x = 754,947 × 129,321
  4. Step 4: Simplify right side
    503,298x = 97,630,500,987
  5. Step 5: Solve for x
    x = 97,630,500,987/503,298
  6. Step 6: Final answer
    x = 193,981.50

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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.