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Finding the Fourth Proportional to 653,405.70, 978,796.35 and 440,829.30

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Solution

The fourth proportional to 653,405.70, 978,796.35 and 440,829.30 is: 660,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,405.70 : 978,796.35 = 440,829.30 : x
  2. Step 2: Convert to fraction form
    653,405.70/978,796.35 = 440,829.30/x
  3. Step 3: Cross multiply
    653,405.70x = 978,796.35 × 440,829.30
  4. Step 4: Simplify right side
    653,405.70x = 431,482,109,813.06
  5. Step 5: Solve for x
    x = 431,482,109,813.06/653,405.70
  6. Step 6: Final answer
    x = 660,358.66

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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.