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Finding the Fourth Proportional to 510,642.40, 766,309.20 and 230,015.20

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Solution

The fourth proportional to 510,642.40, 766,309.20 and 230,015.20 is: 345,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,642.40 : 766,309.20 = 230,015.20 : x
  2. Step 2: Convert to fraction form
    510,642.40/766,309.20 = 230,015.20/x
  3. Step 3: Cross multiply
    510,642.40x = 766,309.20 × 230,015.20
  4. Step 4: Simplify right side
    510,642.40x = 176,262,763,899.84
  5. Step 5: Solve for x
    x = 176,262,763,899.84/510,642.40
  6. Step 6: Final answer
    x = 345,178.47

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1.5x scale

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.