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Finding the Fourth Proportional to 668,466.77, 1,003,336.83 and 414,980.10

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Solution

The fourth proportional to 668,466.77, 1,003,336.83 and 414,980.10 is: 622,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,466.77 : 1,003,336.83 = 414,980.10 : x
  2. Step 2: Convert to fraction form
    668,466.77/1,003,336.83 = 414,980.10/x
  3. Step 3: Cross multiply
    668,466.77x = 1,003,336.83 × 414,980.10
  4. Step 4: Simplify right side
    668,466.77x = 416,364,818,047.08
  5. Step 5: Solve for x
    x = 416,364,818,047.08/668,466.77
  6. Step 6: Final answer
    x = 622,865.40

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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.