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Finding the Fourth Proportional to 652,025.30, 978,329.55 and 314,935.70

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Solution

The fourth proportional to 652,025.30, 978,329.55 and 314,935.70 is: 472,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,025.30 : 978,329.55 = 314,935.70 : x
  2. Step 2: Convert to fraction form
    652,025.30/978,329.55 = 314,935.70/x
  3. Step 3: Cross multiply
    652,025.30x = 978,329.55 × 314,935.70
  4. Step 4: Simplify right side
    652,025.30x = 308,110,901,659.94
  5. Step 5: Solve for x
    x = 308,110,901,659.94/652,025.30
  6. Step 6: Final answer
    x = 472,544.40

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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.