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Finding the Fourth Proportional to 518,346.40, 715,325.18 and 288,897.28

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Solution

The fourth proportional to 518,346.40, 715,325.18 and 288,897.28 is: 398,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,346.40 : 715,325.18 = 288,897.28 : x
  2. Step 2: Convert to fraction form
    518,346.40/715,325.18 = 288,897.28/x
  3. Step 3: Cross multiply
    518,346.40x = 715,325.18 × 288,897.28
  4. Step 4: Simplify right side
    518,346.40x = 206,655,498,817.51
  5. Step 5: Solve for x
    x = 206,655,498,817.51/518,346.40
  6. Step 6: Final answer
    x = 398,682.23

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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.