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Finding the Fourth Proportional to 510,317.96, 768,934.43 and 423,516.20

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Solution

The fourth proportional to 510,317.96, 768,934.43 and 423,516.20 is: 638,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,317.96 : 768,934.43 = 423,516.20 : x
  2. Step 2: Convert to fraction form
    510,317.96/768,934.43 = 423,516.20/x
  3. Step 3: Cross multiply
    510,317.96x = 768,934.43 × 423,516.20
  4. Step 4: Simplify right side
    510,317.96x = 325,656,187,842.77
  5. Step 5: Solve for x
    x = 325,656,187,842.77/510,317.96
  6. Step 6: Final answer
    x = 638,143.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.