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Finding the Fourth Proportional to 389,302.38, 583,772.13 and 202,263.66

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Solution

The fourth proportional to 389,302.38, 583,772.13 and 202,263.66 is: 303,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,302.38 : 583,772.13 = 202,263.66 : x
  2. Step 2: Convert to fraction form
    389,302.38/583,772.13 = 202,263.66/x
  3. Step 3: Cross multiply
    389,302.38x = 583,772.13 × 202,263.66
  4. Step 4: Simplify right side
    389,302.38x = 118,075,887,619.80
  5. Step 5: Solve for x
    x = 118,075,887,619.80/389,302.38
  6. Step 6: Final answer
    x = 303,301.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.