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Finding the Fourth Proportional to 497,993.16, 687,210.68 and 294,109.79

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Solution

The fourth proportional to 497,993.16, 687,210.68 and 294,109.79 is: 405,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,993.16 : 687,210.68 = 294,109.79 : x
  2. Step 2: Convert to fraction form
    497,993.16/687,210.68 = 294,109.79/x
  3. Step 3: Cross multiply
    497,993.16x = 687,210.68 × 294,109.79
  4. Step 4: Simplify right side
    497,993.16x = 202,115,386,079.78
  5. Step 5: Solve for x
    x = 202,115,386,079.78/497,993.16
  6. Step 6: Final answer
    x = 405,859.76

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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.