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Finding the Fourth Proportional to 557,692.49, 769,613.75 and 316,021.13

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Solution

The fourth proportional to 557,692.49, 769,613.75 and 316,021.13 is: 436,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,692.49 : 769,613.75 = 316,021.13 : x
  2. Step 2: Convert to fraction form
    557,692.49/769,613.75 = 316,021.13/x
  3. Step 3: Cross multiply
    557,692.49x = 769,613.75 × 316,021.13
  4. Step 4: Simplify right side
    557,692.49x = 243,214,201,510.36
  5. Step 5: Solve for x
    x = 243,214,201,510.36/557,692.49
  6. Step 6: Final answer
    x = 436,108.08

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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.