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Finding the Fourth Proportional to 501,678.90, 752,729.46 and 312,297.78

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Solution

The fourth proportional to 501,678.90, 752,729.46 and 312,297.78 is: 468,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,678.90 : 752,729.46 = 312,297.78 : x
  2. Step 2: Convert to fraction form
    501,678.90/752,729.46 = 312,297.78/x
  3. Step 3: Cross multiply
    501,678.90x = 752,729.46 × 312,297.78
  4. Step 4: Simplify right side
    501,678.90x = 235,075,739,298.60
  5. Step 5: Solve for x
    x = 235,075,739,298.60/501,678.90
  6. Step 6: Final answer
    x = 468,578.09

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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.