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Finding the Fourth Proportional to 556,814.16, 768,405.60 and 302,165.28

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Solution

The fourth proportional to 556,814.16, 768,405.60 and 302,165.28 is: 416,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,814.16 : 768,405.60 = 302,165.28 : x
  2. Step 2: Convert to fraction form
    556,814.16/768,405.60 = 302,165.28/x
  3. Step 3: Cross multiply
    556,814.16x = 768,405.60 × 302,165.28
  4. Step 4: Simplify right side
    556,814.16x = 232,185,493,277.57
  5. Step 5: Solve for x
    x = 232,185,493,277.57/556,814.16
  6. Step 6: Final answer
    x = 416,989.20

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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.