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Finding the Fourth Proportional to 510,643.08, 765,964.82 and 509,905.17

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Solution

The fourth proportional to 510,643.08, 765,964.82 and 509,905.17 is: 764,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,643.08 : 765,964.82 = 509,905.17 : x
  2. Step 2: Convert to fraction form
    510,643.08/765,964.82 = 509,905.17/x
  3. Step 3: Cross multiply
    510,643.08x = 765,964.82 × 509,905.17
  4. Step 4: Simplify right side
    510,643.08x = 390,569,423,030.88
  5. Step 5: Solve for x
    x = 390,569,423,030.88/510,643.08
  6. Step 6: Final answer
    x = 764,857.96

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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.