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Finding the Fourth Proportional to 414,332.60, 621,530.22 and 114,809.72

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Solution

The fourth proportional to 414,332.60, 621,530.22 and 114,809.72 is: 172,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,332.60 : 621,530.22 = 114,809.72 : x
  2. Step 2: Convert to fraction form
    414,332.60/621,530.22 = 114,809.72/x
  3. Step 3: Cross multiply
    414,332.60x = 621,530.22 × 114,809.72
  4. Step 4: Simplify right side
    414,332.60x = 71,357,710,529.74
  5. Step 5: Solve for x
    x = 71,357,710,529.74/414,332.60
  6. Step 6: Final answer
    x = 172,223.26

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