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Finding the Fourth Proportional to 1,308,631.07, 1,962,947.05 and 410,142.51

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Solution

The fourth proportional to 1,308,631.07, 1,962,947.05 and 410,142.51 is: 615,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,631.07 : 1,962,947.05 = 410,142.51 : x
  2. Step 2: Convert to fraction form
    1,308,631.07/1,962,947.05 = 410,142.51/x
  3. Step 3: Cross multiply
    1,308,631.07x = 1,962,947.05 × 410,142.51
  4. Step 4: Simplify right side
    1,308,631.07x = 805,088,029,058.74
  5. Step 5: Solve for x
    x = 805,088,029,058.74/1,308,631.07
  6. Step 6: Final answer
    x = 615,213.90

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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.