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Finding the Fourth Proportional to 510,967.34, 766,541.07 and 211,280.00

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Solution

The fourth proportional to 510,967.34, 766,541.07 and 211,280.00 is: 316,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,967.34 : 766,541.07 = 211,280.00 : x
  2. Step 2: Convert to fraction form
    510,967.34/766,541.07 = 211,280.00/x
  3. Step 3: Cross multiply
    510,967.34x = 766,541.07 × 211,280.00
  4. Step 4: Simplify right side
    510,967.34x = 161,954,793,436.90
  5. Step 5: Solve for x
    x = 161,954,793,436.90/510,967.34
  6. Step 6: Final answer
    x = 316,957.23

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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.