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Finding the Fourth Proportional to 556,728.90, 768,285.72 and 302,080.02

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Solution

The fourth proportional to 556,728.90, 768,285.72 and 302,080.02 is: 416,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,728.90 : 768,285.72 = 302,080.02 : x
  2. Step 2: Convert to fraction form
    556,728.90/768,285.72 = 302,080.02/x
  3. Step 3: Cross multiply
    556,728.90x = 768,285.72 × 302,080.02
  4. Step 4: Simplify right side
    556,728.90x = 232,083,765,663.31
  5. Step 5: Solve for x
    x = 232,083,765,663.31/556,728.90
  6. Step 6: Final answer
    x = 416,870.34

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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.