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Finding the Fourth Proportional to 499,823.45, 689,537.27 and 292,987.01

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Solution

The fourth proportional to 499,823.45, 689,537.27 and 292,987.01 is: 404,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,823.45 : 689,537.27 = 292,987.01 : x
  2. Step 2: Convert to fraction form
    499,823.45/689,537.27 = 292,987.01/x
  3. Step 3: Cross multiply
    499,823.45x = 689,537.27 × 292,987.01
  4. Step 4: Simplify right side
    499,823.45x = 202,025,463,020.86
  5. Step 5: Solve for x
    x = 202,025,463,020.86/499,823.45
  6. Step 6: Final answer
    x = 404,193.65

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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.