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Finding the Fourth Proportional to 583,419, 805,118.94 and 315,147

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Solution

The fourth proportional to 583,419, 805,118.94 and 315,147 is: 434,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,419 : 805,118.94 = 315,147 : x
  2. Step 2: Convert to fraction form
    583,419/805,118.94 = 315,147/x
  3. Step 3: Cross multiply
    583,419x = 805,118.94 × 315,147
  4. Step 4: Simplify right side
    583,419x = 253,730,818,584.18
  5. Step 5: Solve for x
    x = 253,730,818,584.18/583,419
  6. Step 6: Final answer
    x = 434,903.25

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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.