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Finding the Fourth Proportional to 583,417, 805,116.18 and 315,145

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Solution

The fourth proportional to 583,417, 805,116.18 and 315,145 is: 434,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,417 : 805,116.18 = 315,145 : x
  2. Step 2: Convert to fraction form
    583,417/805,116.18 = 315,145/x
  3. Step 3: Cross multiply
    583,417x = 805,116.18 × 315,145
  4. Step 4: Simplify right side
    583,417x = 253,728,338,546.10
  5. Step 5: Solve for x
    x = 253,728,338,546.10/583,417
  6. Step 6: Final answer
    x = 434,900.49

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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.