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Finding the Fourth Proportional to 507,478.46, 700,309.55 and 278,024.57

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Solution

The fourth proportional to 507,478.46, 700,309.55 and 278,024.57 is: 383,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,478.46 : 700,309.55 = 278,024.57 : x
  2. Step 2: Convert to fraction form
    507,478.46/700,309.55 = 278,024.57/x
  3. Step 3: Cross multiply
    507,478.46x = 700,309.55 × 278,024.57
  4. Step 4: Simplify right side
    507,478.46x = 194,703,256,613.97
  5. Step 5: Solve for x
    x = 194,703,256,613.97/507,478.46
  6. Step 6: Final answer
    x = 383,668.03

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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.