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Finding the Fourth Proportional to 557,431.65, 769,574.93 and 366,998.63

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Solution

The fourth proportional to 557,431.65, 769,574.93 and 366,998.63 is: 506,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,431.65 : 769,574.93 = 366,998.63 : x
  2. Step 2: Convert to fraction form
    557,431.65/769,574.93 = 366,998.63/x
  3. Step 3: Cross multiply
    557,431.65x = 769,574.93 × 366,998.63
  4. Step 4: Simplify right side
    557,431.65x = 282,432,939,309.48
  5. Step 5: Solve for x
    x = 282,432,939,309.48/557,431.65
  6. Step 6: Final answer
    x = 506,668.29

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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.