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Finding the Fourth Proportional to 583,459, 805,174.16 and 315,187

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Solution

The fourth proportional to 583,459, 805,174.16 and 315,187 is: 434,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,459 : 805,174.16 = 315,187 : x
  2. Step 2: Convert to fraction form
    583,459/805,174.16 = 315,187/x
  3. Step 3: Cross multiply
    583,459x = 805,174.16 × 315,187
  4. Step 4: Simplify right side
    583,459x = 253,780,427,967.92
  5. Step 5: Solve for x
    x = 253,780,427,967.92/583,459
  6. Step 6: Final answer
    x = 434,958.46

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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.