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Finding the Fourth Proportional to 219,213, 302,514.14 and 123,717.65

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Solution

The fourth proportional to 219,213, 302,514.14 and 123,717.65 is: 170,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,213 : 302,514.14 = 123,717.65 : x
  2. Step 2: Convert to fraction form
    219,213/302,514.14 = 123,717.65/x
  3. Step 3: Cross multiply
    219,213x = 302,514.14 × 123,717.65
  4. Step 4: Simplify right side
    219,213x = 37,426,337,289.29
  5. Step 5: Solve for x
    x = 37,426,337,289.29/219,213
  6. Step 6: Final answer
    x = 170,730.46

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1.5x scale

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.