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Finding the Fourth Proportional to 583,614.02, 805,387.11 and 315,342.02

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Solution

The fourth proportional to 583,614.02, 805,387.11 and 315,342.02 is: 435,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,614.02 : 805,387.11 = 315,342.02 : x
  2. Step 2: Convert to fraction form
    583,614.02/805,387.11 = 315,342.02/x
  3. Step 3: Cross multiply
    583,614.02x = 805,387.11 × 315,342.02
  4. Step 4: Simplify right side
    583,614.02x = 253,972,398,149.36
  5. Step 5: Solve for x
    x = 253,972,398,149.36/583,614.02
  6. Step 6: Final answer
    x = 435,171.86

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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.