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Finding the Fourth Proportional to 288,603.05, 432,904.56 and 78,235.52

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Solution

The fourth proportional to 288,603.05, 432,904.56 and 78,235.52 is: 117,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,603.05 : 432,904.56 = 78,235.52 : x
  2. Step 2: Convert to fraction form
    288,603.05/432,904.56 = 78,235.52/x
  3. Step 3: Cross multiply
    288,603.05x = 432,904.56 × 78,235.52
  4. Step 4: Simplify right side
    288,603.05x = 33,868,513,361.97
  5. Step 5: Solve for x
    x = 33,868,513,361.97/288,603.05
  6. Step 6: Final answer
    x = 117,353.28

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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.