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Finding the Fourth Proportional to 511,582.32, 767,140.20 and 245,468.16

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Solution

The fourth proportional to 511,582.32, 767,140.20 and 245,468.16 is: 368,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,582.32 : 767,140.20 = 245,468.16 : x
  2. Step 2: Convert to fraction form
    511,582.32/767,140.20 = 245,468.16/x
  3. Step 3: Cross multiply
    511,582.32x = 767,140.20 × 245,468.16
  4. Step 4: Simplify right side
    511,582.32x = 188,308,493,356.03
  5. Step 5: Solve for x
    x = 188,308,493,356.03/511,582.32
  6. Step 6: Final answer
    x = 368,090.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.