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Finding the Fourth Proportional to 537,730, 742,067.40 and 299,322.32

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Solution

The fourth proportional to 537,730, 742,067.40 and 299,322.32 is: 413,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,730 : 742,067.40 = 299,322.32 : x
  2. Step 2: Convert to fraction form
    537,730/742,067.40 = 299,322.32/x
  3. Step 3: Cross multiply
    537,730x = 742,067.40 × 299,322.32
  4. Step 4: Simplify right side
    537,730x = 222,117,335,764.37
  5. Step 5: Solve for x
    x = 222,117,335,764.37/537,730
  6. Step 6: Final answer
    x = 413,064.80

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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.