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Finding the Fourth Proportional to 1,215,947.62, 1,823,643.80 and 457,869.03

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Solution

The fourth proportional to 1,215,947.62, 1,823,643.80 and 457,869.03 is: 686,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,947.62 : 1,823,643.80 = 457,869.03 : x
  2. Step 2: Convert to fraction form
    1,215,947.62/1,823,643.80 = 457,869.03/x
  3. Step 3: Cross multiply
    1,215,947.62x = 1,823,643.80 × 457,869.03
  4. Step 4: Simplify right side
    1,215,947.62x = 834,990,017,771.51
  5. Step 5: Solve for x
    x = 834,990,017,771.51/1,215,947.62
  6. Step 6: Final answer
    x = 686,699.00

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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.