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Finding the Fourth Proportional to 583,501.50, 805,232.16 and 315,229.50

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Solution

The fourth proportional to 583,501.50, 805,232.16 and 315,229.50 is: 435,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,501.50 : 805,232.16 = 315,229.50 : x
  2. Step 2: Convert to fraction form
    583,501.50/805,232.16 = 315,229.50/x
  3. Step 3: Cross multiply
    583,501.50x = 805,232.16 × 315,229.50
  4. Step 4: Simplify right side
    583,501.50x = 253,832,931,180.72
  5. Step 5: Solve for x
    x = 253,832,931,180.72/583,501.50
  6. Step 6: Final answer
    x = 435,016.76

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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.