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Finding the Fourth Proportional to 556,782.66, 768,362.13 and 302,133.78

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Solution

The fourth proportional to 556,782.66, 768,362.13 and 302,133.78 is: 416,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,782.66 : 768,362.13 = 302,133.78 : x
  2. Step 2: Convert to fraction form
    556,782.66/768,362.13 = 302,133.78/x
  3. Step 3: Cross multiply
    556,782.66x = 768,362.13 × 302,133.78
  4. Step 4: Simplify right side
    556,782.66x = 232,148,154,745.75
  5. Step 5: Solve for x
    x = 232,148,154,745.75/556,782.66
  6. Step 6: Final answer
    x = 416,945.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.