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Finding the Fourth Proportional to 652,033.30, 978,341.55 and 314,943.70

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Solution

The fourth proportional to 652,033.30, 978,341.55 and 314,943.70 is: 472,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,033.30 : 978,341.55 = 314,943.70 : x
  2. Step 2: Convert to fraction form
    652,033.30/978,341.55 = 314,943.70/x
  3. Step 3: Cross multiply
    652,033.30x = 978,341.55 × 314,943.70
  4. Step 4: Simplify right side
    652,033.30x = 308,122,507,620.74
  5. Step 5: Solve for x
    x = 308,122,507,620.74/652,033.30
  6. Step 6: Final answer
    x = 472,556.40

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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.