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Finding the Fourth Proportional to 864,007.60, 1,295,838.60 and 414,727.60

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Solution

The fourth proportional to 864,007.60, 1,295,838.60 and 414,727.60 is: 622,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,007.60 : 1,295,838.60 = 414,727.60 : x
  2. Step 2: Convert to fraction form
    864,007.60/1,295,838.60 = 414,727.60/x
  3. Step 3: Cross multiply
    864,007.60x = 1,295,838.60 × 414,727.60
  4. Step 4: Simplify right side
    864,007.60x = 537,420,032,565.36
  5. Step 5: Solve for x
    x = 537,420,032,565.36/864,007.60
  6. Step 6: Final answer
    x = 622,008.46

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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.