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Finding the Fourth Proportional to 294,458, 441,687 and 72,842

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Solution

The fourth proportional to 294,458, 441,687 and 72,842 is: 109,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,458 : 441,687 = 72,842 : x
  2. Step 2: Convert to fraction form
    294,458/441,687 = 72,842/x
  3. Step 3: Cross multiply
    294,458x = 441,687 × 72,842
  4. Step 4: Simplify right side
    294,458x = 32,173,364,454
  5. Step 5: Solve for x
    x = 32,173,364,454/294,458
  6. Step 6: Final answer
    x = 109,263

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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.