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Finding the Fourth Proportional to 277,281.16, 415,878.36 and 90,291.40

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Solution

The fourth proportional to 277,281.16, 415,878.36 and 90,291.40 is: 135,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,281.16 : 415,878.36 = 90,291.40 : x
  2. Step 2: Convert to fraction form
    277,281.16/415,878.36 = 90,291.40/x
  3. Step 3: Cross multiply
    277,281.16x = 415,878.36 × 90,291.40
  4. Step 4: Simplify right side
    277,281.16x = 37,550,239,354.10
  5. Step 5: Solve for x
    x = 37,550,239,354.10/277,281.16
  6. Step 6: Final answer
    x = 135,422.97

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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.