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Finding the Fourth Proportional to 510,339.10, 765,619.32 and 155,343.86

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Solution

The fourth proportional to 510,339.10, 765,619.32 and 155,343.86 is: 233,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,339.10 : 765,619.32 = 155,343.86 : x
  2. Step 2: Convert to fraction form
    510,339.10/765,619.32 = 155,343.86/x
  3. Step 3: Cross multiply
    510,339.10x = 765,619.32 × 155,343.86
  4. Step 4: Simplify right side
    510,339.10x = 118,934,260,459.38
  5. Step 5: Solve for x
    x = 118,934,260,459.38/510,339.10
  6. Step 6: Final answer
    x = 233,049.48

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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.