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Finding the Fourth Proportional to 429,886.50, 592,618.12 and 300,423.06

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Solution

The fourth proportional to 429,886.50, 592,618.12 and 300,423.06 is: 414,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,886.50 : 592,618.12 = 300,423.06 : x
  2. Step 2: Convert to fraction form
    429,886.50/592,618.12 = 300,423.06/x
  3. Step 3: Cross multiply
    429,886.50x = 592,618.12 × 300,423.06
  4. Step 4: Simplify right side
    429,886.50x = 178,036,149,021.85
  5. Step 5: Solve for x
    x = 178,036,149,021.85/429,886.50
  6. Step 6: Final answer
    x = 414,146.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.