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Finding the Fourth Proportional to 509,165.80, 711,899 and 509,165.80

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Solution

The fourth proportional to 509,165.80, 711,899 and 509,165.80 is: 711,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,165.80 : 711,899 = 509,165.80 : x
  2. Step 2: Convert to fraction form
    509,165.80/711,899 = 509,165.80/x
  3. Step 3: Cross multiply
    509,165.80x = 711,899 × 509,165.80
  4. Step 4: Simplify right side
    509,165.80x = 362,474,623,854.20
  5. Step 5: Solve for x
    x = 362,474,623,854.20/509,165.80
  6. Step 6: Final answer
    x = 711,899

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.