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Finding the Fourth Proportional to 518,398.81, 715,303.78 and 288,906.01

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Solution

The fourth proportional to 518,398.81, 715,303.78 and 288,906.01 is: 398,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,398.81 : 715,303.78 = 288,906.01 : x
  2. Step 2: Convert to fraction form
    518,398.81/715,303.78 = 288,906.01/x
  3. Step 3: Cross multiply
    518,398.81x = 715,303.78 × 288,906.01
  4. Step 4: Simplify right side
    518,398.81x = 206,655,561,017.72
  5. Step 5: Solve for x
    x = 206,655,561,017.72/518,398.81
  6. Step 6: Final answer
    x = 398,642.04

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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.