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Finding the Fourth Proportional to 518,709.36, 715,838.94 and 292,350

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Solution

The fourth proportional to 518,709.36, 715,838.94 and 292,350 is: 403,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,709.36 : 715,838.94 = 292,350 : x
  2. Step 2: Convert to fraction form
    518,709.36/715,838.94 = 292,350/x
  3. Step 3: Cross multiply
    518,709.36x = 715,838.94 × 292,350
  4. Step 4: Simplify right side
    518,709.36x = 209,275,514,109.00
  5. Step 5: Solve for x
    x = 209,275,514,109.00/518,709.36
  6. Step 6: Final answer
    x = 403,454.29

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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.