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Finding the Fourth Proportional to 519,629.40, 779,298.30 and 164,752.20

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Solution

The fourth proportional to 519,629.40, 779,298.30 and 164,752.20 is: 247,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,629.40 : 779,298.30 = 164,752.20 : x
  2. Step 2: Convert to fraction form
    519,629.40/779,298.30 = 164,752.20/x
  3. Step 3: Cross multiply
    519,629.40x = 779,298.30 × 164,752.20
  4. Step 4: Simplify right side
    519,629.40x = 128,391,109,381.26
  5. Step 5: Solve for x
    x = 128,391,109,381.26/519,629.40
  6. Step 6: Final answer
    x = 247,082.07

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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.