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Finding the Fourth Proportional to 277,259.16, 415,845.36 and 90,269.40

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Solution

The fourth proportional to 277,259.16, 415,845.36 and 90,269.40 is: 135,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,259.16 : 415,845.36 = 90,269.40 : x
  2. Step 2: Convert to fraction form
    277,259.16/415,845.36 = 90,269.40/x
  3. Step 3: Cross multiply
    277,259.16x = 415,845.36 × 90,269.40
  4. Step 4: Simplify right side
    277,259.16x = 37,538,111,139.98
  5. Step 5: Solve for x
    x = 37,538,111,139.98/277,259.16
  6. Step 6: Final answer
    x = 135,389.98

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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.