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Finding the Fourth Proportional to 1,398,271.84, 1,929,641.52 and 786,408.64

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Solution

The fourth proportional to 1,398,271.84, 1,929,641.52 and 786,408.64 is: 1,085,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,271.84 : 1,929,641.52 = 786,408.64 : x
  2. Step 2: Convert to fraction form
    1,398,271.84/1,929,641.52 = 786,408.64/x
  3. Step 3: Cross multiply
    1,398,271.84x = 1,929,641.52 × 786,408.64
  4. Step 4: Simplify right side
    1,398,271.84x = 1,517,486,763,430.73
  5. Step 5: Solve for x
    x = 1,517,486,763,430.73/1,398,271.84
  6. Step 6: Final answer
    x = 1,085,258.76

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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.