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Finding the Fourth Proportional to 652,628.16, 978,825.47 and 415,265.76

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Solution

The fourth proportional to 652,628.16, 978,825.47 and 415,265.76 is: 622,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,628.16 : 978,825.47 = 415,265.76 : x
  2. Step 2: Convert to fraction form
    652,628.16/978,825.47 = 415,265.76/x
  3. Step 3: Cross multiply
    652,628.16x = 978,825.47 × 415,265.76
  4. Step 4: Simplify right side
    652,628.16x = 406,472,700,630.58
  5. Step 5: Solve for x
    x = 406,472,700,630.58/652,628.16
  6. Step 6: Final answer
    x = 622,824.34

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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.