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Finding the Fourth Proportional to 277,271.16, 415,863.36 and 90,281.40

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Solution

The fourth proportional to 277,271.16, 415,863.36 and 90,281.40 is: 135,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,271.16 : 415,863.36 = 90,281.40 : x
  2. Step 2: Convert to fraction form
    277,271.16/415,863.36 = 90,281.40/x
  3. Step 3: Cross multiply
    277,271.16x = 415,863.36 × 90,281.40
  4. Step 4: Simplify right side
    277,271.16x = 37,544,726,349.50
  5. Step 5: Solve for x
    x = 37,544,726,349.50/277,271.16
  6. Step 6: Final answer
    x = 135,407.98

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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.