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Finding the Fourth Proportional to 851,086, 1,174,484.64 and 469,148.32

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Solution

The fourth proportional to 851,086, 1,174,484.64 and 469,148.32 is: 647,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,086 : 1,174,484.64 = 469,148.32 : x
  2. Step 2: Convert to fraction form
    851,086/1,174,484.64 = 469,148.32/x
  3. Step 3: Cross multiply
    851,086x = 1,174,484.64 × 469,148.32
  4. Step 4: Simplify right side
    851,086x = 551,007,495,721.81
  5. Step 5: Solve for x
    x = 551,007,495,721.81/851,086
  6. Step 6: Final answer
    x = 647,416.94

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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.