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Finding the Fourth Proportional to 557,077.60, 768,762.96 and 302,422.24

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Solution

The fourth proportional to 557,077.60, 768,762.96 and 302,422.24 is: 417,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,077.60 : 768,762.96 = 302,422.24 : x
  2. Step 2: Convert to fraction form
    557,077.60/768,762.96 = 302,422.24/x
  3. Step 3: Cross multiply
    557,077.60x = 768,762.96 × 302,422.24
  4. Step 4: Simplify right side
    557,077.60x = 232,491,016,392.23
  5. Step 5: Solve for x
    x = 232,491,016,392.23/557,077.60
  6. Step 6: Final answer
    x = 417,340.45

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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.