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Finding the Fourth Proportional to 510,081.40, 763,955.70 and 260,471.80

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Solution

The fourth proportional to 510,081.40, 763,955.70 and 260,471.80 is: 390,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,081.40 : 763,955.70 = 260,471.80 : x
  2. Step 2: Convert to fraction form
    510,081.40/763,955.70 = 260,471.80/x
  3. Step 3: Cross multiply
    510,081.40x = 763,955.70 × 260,471.80
  4. Step 4: Simplify right side
    510,081.40x = 198,988,916,299.26
  5. Step 5: Solve for x
    x = 198,988,916,299.26/510,081.40
  6. Step 6: Final answer
    x = 390,112.08

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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.