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Finding the Fourth Proportional to 556,798.96, 768,382.56 and 302,150.15

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Solution

The fourth proportional to 556,798.96, 768,382.56 and 302,150.15 is: 416,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,798.96 : 768,382.56 = 302,150.15 : x
  2. Step 2: Convert to fraction form
    556,798.96/768,382.56 = 302,150.15/x
  3. Step 3: Cross multiply
    556,798.96x = 768,382.56 × 302,150.15
  4. Step 4: Simplify right side
    556,798.96x = 232,166,900,786.41
  5. Step 5: Solve for x
    x = 232,166,900,786.41/556,798.96
  6. Step 6: Final answer
    x = 416,967.20

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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.