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Finding the Fourth Proportional to 707,142.69, 975,959.75 and 397,080.08

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Solution

The fourth proportional to 707,142.69, 975,959.75 and 397,080.08 is: 548,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,142.69 : 975,959.75 = 397,080.08 : x
  2. Step 2: Convert to fraction form
    707,142.69/975,959.75 = 397,080.08/x
  3. Step 3: Cross multiply
    707,142.69x = 975,959.75 × 397,080.08
  4. Step 4: Simplify right side
    707,142.69x = 387,534,168,741.58
  5. Step 5: Solve for x
    x = 387,534,168,741.58/707,142.69
  6. Step 6: Final answer
    x = 548,028.25

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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.