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Finding the Fourth Proportional to 583,396, 805,086.80 and 315,124

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Solution

The fourth proportional to 583,396, 805,086.80 and 315,124 is: 434,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,396 : 805,086.80 = 315,124 : x
  2. Step 2: Convert to fraction form
    583,396/805,086.80 = 315,124/x
  3. Step 3: Cross multiply
    583,396x = 805,086.80 × 315,124
  4. Step 4: Simplify right side
    583,396x = 253,702,172,763.20
  5. Step 5: Solve for x
    x = 253,702,172,763.20/583,396
  6. Step 6: Final answer
    x = 434,871.29

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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.