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Finding the Fourth Proportional to 509,901.30, 765,143.55 and 352,242.90

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Solution

The fourth proportional to 509,901.30, 765,143.55 and 352,242.90 is: 528,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,901.30 : 765,143.55 = 352,242.90 : x
  2. Step 2: Convert to fraction form
    509,901.30/765,143.55 = 352,242.90/x
  3. Step 3: Cross multiply
    509,901.30x = 765,143.55 × 352,242.90
  4. Step 4: Simplify right side
    509,901.30x = 269,516,382,968.30
  5. Step 5: Solve for x
    x = 269,516,382,968.30/509,901.30
  6. Step 6: Final answer
    x = 528,565.79

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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.