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Finding the Fourth Proportional to 652,031.30, 978,338.55 and 314,941.70

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Solution

The fourth proportional to 652,031.30, 978,338.55 and 314,941.70 is: 472,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,031.30 : 978,338.55 = 314,941.70 : x
  2. Step 2: Convert to fraction form
    652,031.30/978,338.55 = 314,941.70/x
  3. Step 3: Cross multiply
    652,031.30x = 978,338.55 × 314,941.70
  4. Step 4: Simplify right side
    652,031.30x = 308,119,606,112.54
  5. Step 5: Solve for x
    x = 308,119,606,112.54/652,031.30
  6. Step 6: Final answer
    x = 472,553.40

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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.