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Finding the Fourth Proportional to 709,514.98, 978,692.82 and 505,631.23

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Solution

The fourth proportional to 709,514.98, 978,692.82 and 505,631.23 is: 697,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,514.98 : 978,692.82 = 505,631.23 : x
  2. Step 2: Convert to fraction form
    709,514.98/978,692.82 = 505,631.23/x
  3. Step 3: Cross multiply
    709,514.98x = 978,692.82 × 505,631.23
  4. Step 4: Simplify right side
    709,514.98x = 494,857,654,368.77
  5. Step 5: Solve for x
    x = 494,857,654,368.77/709,514.98
  6. Step 6: Final answer
    x = 697,459.06

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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.