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Finding the Fourth Proportional to 553,347.40, 830,021.10 and 454,932.40

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Solution

The fourth proportional to 553,347.40, 830,021.10 and 454,932.40 is: 682,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,347.40 : 830,021.10 = 454,932.40 : x
  2. Step 2: Convert to fraction form
    553,347.40/830,021.10 = 454,932.40/x
  3. Step 3: Cross multiply
    553,347.40x = 830,021.10 × 454,932.40
  4. Step 4: Simplify right side
    553,347.40x = 377,603,491,073.64
  5. Step 5: Solve for x
    x = 377,603,491,073.64/553,347.40
  6. Step 6: Final answer
    x = 682,398.60

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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.