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Finding the Fourth Proportional to 647,854.77, 894,058.52 and 361,368.66

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Solution

The fourth proportional to 647,854.77, 894,058.52 and 361,368.66 is: 498,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,854.77 : 894,058.52 = 361,368.66 : x
  2. Step 2: Convert to fraction form
    647,854.77/894,058.52 = 361,368.66/x
  3. Step 3: Cross multiply
    647,854.77x = 894,058.52 × 361,368.66
  4. Step 4: Simplify right side
    647,854.77x = 323,084,727,527.14
  5. Step 5: Solve for x
    x = 323,084,727,527.14/647,854.77
  6. Step 6: Final answer
    x = 498,699.31

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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.