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Finding the Fourth Proportional to 583,634, 805,414.92 and 315,362

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Solution

The fourth proportional to 583,634, 805,414.92 and 315,362 is: 435,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,634 : 805,414.92 = 315,362 : x
  2. Step 2: Convert to fraction form
    583,634/805,414.92 = 315,362/x
  3. Step 3: Cross multiply
    583,634x = 805,414.92 × 315,362
  4. Step 4: Simplify right side
    583,634x = 253,997,260,001.04
  5. Step 5: Solve for x
    x = 253,997,260,001.04/583,634
  6. Step 6: Final answer
    x = 435,199.56

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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.