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Finding the Fourth Proportional to 510,530.32, 766,053.80 and 211,225.68

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Solution

The fourth proportional to 510,530.32, 766,053.80 and 211,225.68 is: 316,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,530.32 : 766,053.80 = 211,225.68 : x
  2. Step 2: Convert to fraction form
    510,530.32/766,053.80 = 211,225.68/x
  3. Step 3: Cross multiply
    510,530.32x = 766,053.80 × 211,225.68
  4. Step 4: Simplify right side
    510,530.32x = 161,810,234,821.58
  5. Step 5: Solve for x
    x = 161,810,234,821.58/510,530.32
  6. Step 6: Final answer
    x = 316,945.40

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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.