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Finding the Fourth Proportional to 510,030, 703,841.40 and 283,670.64

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Solution

The fourth proportional to 510,030, 703,841.40 and 283,670.64 is: 391,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,030 : 703,841.40 = 283,670.64 : x
  2. Step 2: Convert to fraction form
    510,030/703,841.40 = 283,670.64/x
  3. Step 3: Cross multiply
    510,030x = 703,841.40 × 283,670.64
  4. Step 4: Simplify right side
    510,030x = 199,659,140,396.50
  5. Step 5: Solve for x
    x = 199,659,140,396.50/510,030
  6. Step 6: Final answer
    x = 391,465.48

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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.