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Finding the Fourth Proportional to 656,879.30, 906,520.32 and 415,073.64

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Solution

The fourth proportional to 656,879.30, 906,520.32 and 415,073.64 is: 572,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,879.30 : 906,520.32 = 415,073.64 : x
  2. Step 2: Convert to fraction form
    656,879.30/906,520.32 = 415,073.64/x
  3. Step 3: Cross multiply
    656,879.30x = 906,520.32 × 415,073.64
  4. Step 4: Simplify right side
    656,879.30x = 376,272,688,956.37
  5. Step 5: Solve for x
    x = 376,272,688,956.37/656,879.30
  6. Step 6: Final answer
    x = 572,818.62

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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.