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Finding the Fourth Proportional to 525,172.46, 787,807.68 and 406,976.44

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Solution

The fourth proportional to 525,172.46, 787,807.68 and 406,976.44 is: 610,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,172.46 : 787,807.68 = 406,976.44 : x
  2. Step 2: Convert to fraction form
    525,172.46/787,807.68 = 406,976.44/x
  3. Step 3: Cross multiply
    525,172.46x = 787,807.68 × 406,976.44
  4. Step 4: Simplify right side
    525,172.46x = 320,619,165,011.06
  5. Step 5: Solve for x
    x = 320,619,165,011.06/525,172.46
  6. Step 6: Final answer
    x = 610,502.62

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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.