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Finding the Fourth Proportional to 583,978.50, 805,891.14 and 315,706.50

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Solution

The fourth proportional to 583,978.50, 805,891.14 and 315,706.50 is: 435,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,978.50 : 805,891.14 = 315,706.50 : x
  2. Step 2: Convert to fraction form
    583,978.50/805,891.14 = 315,706.50/x
  3. Step 3: Cross multiply
    583,978.50x = 805,891.14 × 315,706.50
  4. Step 4: Simplify right side
    583,978.50x = 254,425,071,190.41
  5. Step 5: Solve for x
    x = 254,425,071,190.41/583,978.50
  6. Step 6: Final answer
    x = 435,675.41

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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.