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Finding the Fourth Proportional to 556,806.66, 768,395.25 and 302,157.78

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Solution

The fourth proportional to 556,806.66, 768,395.25 and 302,157.78 is: 416,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,806.66 : 768,395.25 = 302,157.78 : x
  2. Step 2: Convert to fraction form
    556,806.66/768,395.25 = 302,157.78/x
  3. Step 3: Cross multiply
    556,806.66x = 768,395.25 × 302,157.78
  4. Step 4: Simplify right side
    556,806.66x = 232,176,602,902.55
  5. Step 5: Solve for x
    x = 232,176,602,902.55/556,806.66
  6. Step 6: Final answer
    x = 416,978.85

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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.