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Finding the Fourth Proportional to 510,179.10, 765,281.25 and 243,967.74

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Solution

The fourth proportional to 510,179.10, 765,281.25 and 243,967.74 is: 365,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,179.10 : 765,281.25 = 243,967.74 : x
  2. Step 2: Convert to fraction form
    510,179.10/765,281.25 = 243,967.74/x
  3. Step 3: Cross multiply
    510,179.10x = 765,281.25 × 243,967.74
  4. Step 4: Simplify right side
    510,179.10x = 186,703,937,026.88
  5. Step 5: Solve for x
    x = 186,703,937,026.88/510,179.10
  6. Step 6: Final answer
    x = 365,957.64

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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.