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Finding the Fourth Proportional to 288,277.89, 432,427.77 and 77,915.91

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Solution

The fourth proportional to 288,277.89, 432,427.77 and 77,915.91 is: 116,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,277.89 : 432,427.77 = 77,915.91 : x
  2. Step 2: Convert to fraction form
    288,277.89/432,427.77 = 77,915.91/x
  3. Step 3: Cross multiply
    288,277.89x = 432,427.77 × 77,915.91
  4. Step 4: Simplify right side
    288,277.89x = 33,693,003,208.82
  5. Step 5: Solve for x
    x = 33,693,003,208.82/288,277.89
  6. Step 6: Final answer
    x = 116,876.82

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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.