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Finding the Fourth Proportional to 524,005.20, 722,584.80 and 388,411.20

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Solution

The fourth proportional to 524,005.20, 722,584.80 and 388,411.20 is: 535,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,005.20 : 722,584.80 = 388,411.20 : x
  2. Step 2: Convert to fraction form
    524,005.20/722,584.80 = 388,411.20/x
  3. Step 3: Cross multiply
    524,005.20x = 722,584.80 × 388,411.20
  4. Step 4: Simplify right side
    524,005.20x = 280,660,029,269.76
  5. Step 5: Solve for x
    x = 280,660,029,269.76/524,005.20
  6. Step 6: Final answer
    x = 535,605.43

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1.5x scale

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.