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Finding the Fourth Proportional to 518,965.40, 778,472.40 and 164,007.20

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Solution

The fourth proportional to 518,965.40, 778,472.40 and 164,007.20 is: 246,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,965.40 : 778,472.40 = 164,007.20 : x
  2. Step 2: Convert to fraction form
    518,965.40/778,472.40 = 164,007.20/x
  3. Step 3: Cross multiply
    518,965.40x = 778,472.40 × 164,007.20
  4. Step 4: Simplify right side
    518,965.40x = 127,675,078,601.28
  5. Step 5: Solve for x
    x = 127,675,078,601.28/518,965.40
  6. Step 6: Final answer
    x = 246,018.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.