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Finding the Fourth Proportional to 652,078.76, 978,121.38 and 296,844.28

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Solution

The fourth proportional to 652,078.76, 978,121.38 and 296,844.28 is: 445,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,078.76 : 978,121.38 = 296,844.28 : x
  2. Step 2: Convert to fraction form
    652,078.76/978,121.38 = 296,844.28/x
  3. Step 3: Cross multiply
    652,078.76x = 978,121.38 × 296,844.28
  4. Step 4: Simplify right side
    652,078.76x = 290,349,736,798.71
  5. Step 5: Solve for x
    x = 290,349,736,798.71/652,078.76
  6. Step 6: Final answer
    x = 445,267.89

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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.