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Finding the Fourth Proportional to 1,353,598.84, 1,867,966.32 and 809,757.48

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Solution

The fourth proportional to 1,353,598.84, 1,867,966.32 and 809,757.48 is: 1,117,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,598.84 : 1,867,966.32 = 809,757.48 : x
  2. Step 2: Convert to fraction form
    1,353,598.84/1,867,966.32 = 809,757.48/x
  3. Step 3: Cross multiply
    1,353,598.84x = 1,867,966.32 × 809,757.48
  4. Step 4: Simplify right side
    1,353,598.84x = 1,512,599,700,008.07
  5. Step 5: Solve for x
    x = 1,512,599,700,008.07/1,353,598.84
  6. Step 6: Final answer
    x = 1,117,465.28

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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.