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Finding the Fourth Proportional to 523,256.76, 783,514.82 and 342,774.38

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Solution

The fourth proportional to 523,256.76, 783,514.82 and 342,774.38 is: 513,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,256.76 : 783,514.82 = 342,774.38 : x
  2. Step 2: Convert to fraction form
    523,256.76/783,514.82 = 342,774.38/x
  3. Step 3: Cross multiply
    523,256.76x = 783,514.82 × 342,774.38
  4. Step 4: Simplify right side
    523,256.76x = 268,568,809,462.04
  5. Step 5: Solve for x
    x = 268,568,809,462.04/523,256.76
  6. Step 6: Final answer
    x = 513,263.91

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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.