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Finding the Fourth Proportional to 318,075.40, 477,112.80 and 81,417.70

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Solution

The fourth proportional to 318,075.40, 477,112.80 and 81,417.70 is: 122,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,075.40 : 477,112.80 = 81,417.70 : x
  2. Step 2: Convert to fraction form
    318,075.40/477,112.80 = 81,417.70/x
  3. Step 3: Cross multiply
    318,075.40x = 477,112.80 × 81,417.70
  4. Step 4: Simplify right side
    318,075.40x = 38,845,426,816.56
  5. Step 5: Solve for x
    x = 38,845,426,816.56/318,075.40
  6. Step 6: Final answer
    x = 122,126.47

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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.