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Finding the Fourth Proportional to 491,182.31, 677,924.45 and 307,506.32

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Solution

The fourth proportional to 491,182.31, 677,924.45 and 307,506.32 is: 424,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,182.31 : 677,924.45 = 307,506.32 : x
  2. Step 2: Convert to fraction form
    491,182.31/677,924.45 = 307,506.32/x
  3. Step 3: Cross multiply
    491,182.31x = 677,924.45 × 307,506.32
  4. Step 4: Simplify right side
    491,182.31x = 208,466,051,319.99
  5. Step 5: Solve for x
    x = 208,466,051,319.99/491,182.31
  6. Step 6: Final answer
    x = 424,416.86

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1.5x scale

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.