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Finding the Fourth Proportional to 286,428.78, 429,764.67 and 153,274.50

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Solution

The fourth proportional to 286,428.78, 429,764.67 and 153,274.50 is: 229,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,428.78 : 429,764.67 = 153,274.50 : x
  2. Step 2: Convert to fraction form
    286,428.78/429,764.67 = 153,274.50/x
  3. Step 3: Cross multiply
    286,428.78x = 429,764.67 × 153,274.50
  4. Step 4: Simplify right side
    286,428.78x = 65,871,964,911.92
  5. Step 5: Solve for x
    x = 65,871,964,911.92/286,428.78
  6. Step 6: Final answer
    x = 229,976.77

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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.