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Finding the Fourth Proportional to 510,889.84, 766,453.92 and 155,903.20

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Solution

The fourth proportional to 510,889.84, 766,453.92 and 155,903.20 is: 233,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,889.84 : 766,453.92 = 155,903.20 : x
  2. Step 2: Convert to fraction form
    510,889.84/766,453.92 = 155,903.20/x
  3. Step 3: Cross multiply
    510,889.84x = 766,453.92 × 155,903.20
  4. Step 4: Simplify right side
    510,889.84x = 119,492,618,780.54
  5. Step 5: Solve for x
    x = 119,492,618,780.54/510,889.84
  6. Step 6: Final answer
    x = 233,891.16

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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.