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Finding the Fourth Proportional to 510,316.96, 768,932.92 and 423,515.20

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Solution

The fourth proportional to 510,316.96, 768,932.92 and 423,515.20 is: 638,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,316.96 : 768,932.92 = 423,515.20 : x
  2. Step 2: Convert to fraction form
    510,316.96/768,932.92 = 423,515.20/x
  3. Step 3: Cross multiply
    510,316.96x = 768,932.92 × 423,515.20
  4. Step 4: Simplify right side
    510,316.96x = 325,654,779,400.38
  5. Step 5: Solve for x
    x = 325,654,779,400.38/510,316.96
  6. Step 6: Final answer
    x = 638,142.18

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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.