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Finding the Fourth Proportional to 358,886.80, 538,913.40 and 259,742.80

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Solution

The fourth proportional to 358,886.80, 538,913.40 and 259,742.80 is: 390,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,886.80 : 538,913.40 = 259,742.80 : x
  2. Step 2: Convert to fraction form
    358,886.80/538,913.40 = 259,742.80/x
  3. Step 3: Cross multiply
    358,886.80x = 538,913.40 × 259,742.80
  4. Step 4: Simplify right side
    358,886.80x = 139,978,875,473.52
  5. Step 5: Solve for x
    x = 139,978,875,473.52/358,886.80
  6. Step 6: Final answer
    x = 390,036.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.