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Finding the Fourth Proportional to 286,233.30, 429,004.35 and 145,919.70

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Solution

The fourth proportional to 286,233.30, 429,004.35 and 145,919.70 is: 218,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,233.30 : 429,004.35 = 145,919.70 : x
  2. Step 2: Convert to fraction form
    286,233.30/429,004.35 = 145,919.70/x
  3. Step 3: Cross multiply
    286,233.30x = 429,004.35 × 145,919.70
  4. Step 4: Simplify right side
    286,233.30x = 62,600,186,050.70
  5. Step 5: Solve for x
    x = 62,600,186,050.70/286,233.30
  6. Step 6: Final answer
    x = 218,703.37

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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.