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Finding the Fourth Proportional to 314,716.80, 472,075.20 and 283,612.80

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Solution

The fourth proportional to 314,716.80, 472,075.20 and 283,612.80 is: 425,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,716.80 : 472,075.20 = 283,612.80 : x
  2. Step 2: Convert to fraction form
    314,716.80/472,075.20 = 283,612.80/x
  3. Step 3: Cross multiply
    314,716.80x = 472,075.20 × 283,612.80
  4. Step 4: Simplify right side
    314,716.80x = 133,886,569,282.56
  5. Step 5: Solve for x
    x = 133,886,569,282.56/314,716.80
  6. Step 6: Final answer
    x = 425,419.20

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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.