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Finding the Fourth Proportional to 518,816.50, 715,977.71 and 292,462

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Solution

The fourth proportional to 518,816.50, 715,977.71 and 292,462 is: 403,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,816.50 : 715,977.71 = 292,462 : x
  2. Step 2: Convert to fraction form
    518,816.50/715,977.71 = 292,462/x
  3. Step 3: Cross multiply
    518,816.50x = 715,977.71 × 292,462
  4. Step 4: Simplify right side
    518,816.50x = 209,396,271,559.71
  5. Step 5: Solve for x
    x = 209,396,271,559.71/518,816.50
  6. Step 6: Final answer
    x = 403,603.72

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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.