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Finding the Fourth Proportional to 513,554.81, 770,514.53 and 229,219.47

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Solution

The fourth proportional to 513,554.81, 770,514.53 and 229,219.47 is: 343,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,554.81 : 770,514.53 = 229,219.47 : x
  2. Step 2: Convert to fraction form
    513,554.81/770,514.53 = 229,219.47/x
  3. Step 3: Cross multiply
    513,554.81x = 770,514.53 × 229,219.47
  4. Step 4: Simplify right side
    513,554.81x = 176,616,931,047.80
  5. Step 5: Solve for x
    x = 176,616,931,047.80/513,554.81
  6. Step 6: Final answer
    x = 343,910.58

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1.5x scale

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.