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Finding the Fourth Proportional to 556,806.38, 768,394.83 and 302,157.50

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Solution

The fourth proportional to 556,806.38, 768,394.83 and 302,157.50 is: 416,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,806.38 : 768,394.83 = 302,157.50 : x
  2. Step 2: Convert to fraction form
    556,806.38/768,394.83 = 302,157.50/x
  3. Step 3: Cross multiply
    556,806.38x = 768,394.83 × 302,157.50
  4. Step 4: Simplify right side
    556,806.38x = 232,176,259,334.94
  5. Step 5: Solve for x
    x = 232,176,259,334.94/556,806.38
  6. Step 6: Final answer
    x = 416,978.45

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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.