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Finding the Fourth Proportional to 277,277.04, 415,915.74 and 66,915

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Solution

The fourth proportional to 277,277.04, 415,915.74 and 66,915 is: 100,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,277.04 : 415,915.74 = 66,915 : x
  2. Step 2: Convert to fraction form
    277,277.04/415,915.74 = 66,915/x
  3. Step 3: Cross multiply
    277,277.04x = 415,915.74 × 66,915
  4. Step 4: Simplify right side
    277,277.04x = 27,831,001,742.10
  5. Step 5: Solve for x
    x = 27,831,001,742.10/277,277.04
  6. Step 6: Final answer
    x = 100,372.54

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1.5x scale

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.