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Finding the Fourth Proportional to 518,826, 715,990.82 and 292,471.50

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Solution

The fourth proportional to 518,826, 715,990.82 and 292,471.50 is: 403,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,826 : 715,990.82 = 292,471.50 : x
  2. Step 2: Convert to fraction form
    518,826/715,990.82 = 292,471.50/x
  3. Step 3: Cross multiply
    518,826x = 715,990.82 × 292,471.50
  4. Step 4: Simplify right side
    518,826x = 209,406,909,111.63
  5. Step 5: Solve for x
    x = 209,406,909,111.63/518,826
  6. Step 6: Final answer
    x = 403,616.84

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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.