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Finding the Fourth Proportional to 263,565.34, 395,386.64 and 83,590.74

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Solution

The fourth proportional to 263,565.34, 395,386.64 and 83,590.74 is: 125,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,565.34 : 395,386.64 = 83,590.74 : x
  2. Step 2: Convert to fraction form
    263,565.34/395,386.64 = 83,590.74/x
  3. Step 3: Cross multiply
    263,565.34x = 395,386.64 × 83,590.74
  4. Step 4: Simplify right side
    263,565.34x = 33,050,661,823.71
  5. Step 5: Solve for x
    x = 33,050,661,823.71/263,565.34
  6. Step 6: Final answer
    x = 125,398.36

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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.