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Finding the Fourth Proportional to 652,634.16, 978,834.47 and 415,271.76

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Solution

The fourth proportional to 652,634.16, 978,834.47 and 415,271.76 is: 622,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,634.16 : 978,834.47 = 415,271.76 : x
  2. Step 2: Convert to fraction form
    652,634.16/978,834.47 = 415,271.76/x
  3. Step 3: Cross multiply
    652,634.16x = 978,834.47 × 415,271.76
  4. Step 4: Simplify right side
    652,634.16x = 406,482,311,029.21
  5. Step 5: Solve for x
    x = 406,482,311,029.21/652,634.16
  6. Step 6: Final answer
    x = 622,833.34

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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.