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Finding the Fourth Proportional to 1,585,413, 2,187,871.56 and 906,364.08

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Solution

The fourth proportional to 1,585,413, 2,187,871.56 and 906,364.08 is: 1,250,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,413 : 2,187,871.56 = 906,364.08 : x
  2. Step 2: Convert to fraction form
    1,585,413/2,187,871.56 = 906,364.08/x
  3. Step 3: Cross multiply
    1,585,413x = 2,187,871.56 × 906,364.08
  4. Step 4: Simplify right side
    1,585,413x = 1,983,008,193,637.56
  5. Step 5: Solve for x
    x = 1,983,008,193,637.56/1,585,413
  6. Step 6: Final answer
    x = 1,250,783.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.