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Finding the Fourth Proportional to 656,645.88, 906,312.21 and 414,774.62

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Solution

The fourth proportional to 656,645.88, 906,312.21 and 414,774.62 is: 572,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,645.88 : 906,312.21 = 414,774.62 : x
  2. Step 2: Convert to fraction form
    656,645.88/906,312.21 = 414,774.62/x
  3. Step 3: Cross multiply
    656,645.88x = 906,312.21 × 414,774.62
  4. Step 4: Simplify right side
    656,645.88x = 375,915,297,972.55
  5. Step 5: Solve for x
    x = 375,915,297,972.55/656,645.88
  6. Step 6: Final answer
    x = 572,477.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.