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Finding the Fourth Proportional to 583,357, 805,033.20 and 315,085

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Solution

The fourth proportional to 583,357, 805,033.20 and 315,085 is: 434,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,357 : 805,033.20 = 315,085 : x
  2. Step 2: Convert to fraction form
    583,357/805,033.20 = 315,085/x
  3. Step 3: Cross multiply
    583,357x = 805,033.20 × 315,085
  4. Step 4: Simplify right side
    583,357x = 253,653,885,822
  5. Step 5: Solve for x
    x = 253,653,885,822/583,357
  6. Step 6: Final answer
    x = 434,817.59

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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.