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Finding the Fourth Proportional to 524,108.40, 785,644.20 and 208,143.60

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Solution

The fourth proportional to 524,108.40, 785,644.20 and 208,143.60 is: 312,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,108.40 : 785,644.20 = 208,143.60 : x
  2. Step 2: Convert to fraction form
    524,108.40/785,644.20 = 208,143.60/x
  3. Step 3: Cross multiply
    524,108.40x = 785,644.20 × 208,143.60
  4. Step 4: Simplify right side
    524,108.40x = 163,526,812,107.12
  5. Step 5: Solve for x
    x = 163,526,812,107.12/524,108.40
  6. Step 6: Final answer
    x = 312,009.52

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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.