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Finding the Fourth Proportional to 429,186.38, 643,894.38 and 148,703.63

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Solution

The fourth proportional to 429,186.38, 643,894.38 and 148,703.63 is: 223,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,186.38 : 643,894.38 = 148,703.63 : x
  2. Step 2: Convert to fraction form
    429,186.38/643,894.38 = 148,703.63/x
  3. Step 3: Cross multiply
    429,186.38x = 643,894.38 × 148,703.63
  4. Step 4: Simplify right side
    429,186.38x = 95,749,428,423.13
  5. Step 5: Solve for x
    x = 95,749,428,423.13/429,186.38
  6. Step 6: Final answer
    x = 223,095.22

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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.