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Finding the Fourth Proportional to 557,666.80, 769,577.51 and 315,948.86

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Solution

The fourth proportional to 557,666.80, 769,577.51 and 315,948.86 is: 436,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,666.80 : 769,577.51 = 315,948.86 : x
  2. Step 2: Convert to fraction form
    557,666.80/769,577.51 = 315,948.86/x
  3. Step 3: Cross multiply
    557,666.80x = 769,577.51 × 315,948.86
  4. Step 4: Simplify right side
    557,666.80x = 243,147,131,538.51
  5. Step 5: Solve for x
    x = 243,147,131,538.51/557,666.80
  6. Step 6: Final answer
    x = 436,007.90

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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.