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Finding the Fourth Proportional to 547,214.40, 819,509.40 and 442,238.40

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Solution

The fourth proportional to 547,214.40, 819,509.40 and 442,238.40 is: 662,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,214.40 : 819,509.40 = 442,238.40 : x
  2. Step 2: Convert to fraction form
    547,214.40/819,509.40 = 442,238.40/x
  3. Step 3: Cross multiply
    547,214.40x = 819,509.40 × 442,238.40
  4. Step 4: Simplify right side
    547,214.40x = 362,418,525,840.96
  5. Step 5: Solve for x
    x = 362,418,525,840.96/547,214.40
  6. Step 6: Final answer
    x = 662,297.13

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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.