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Finding the Fourth Proportional to 524,970.40, 786,937.20 and 258,512.80

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Solution

The fourth proportional to 524,970.40, 786,937.20 and 258,512.80 is: 387,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,970.40 : 786,937.20 = 258,512.80 : x
  2. Step 2: Convert to fraction form
    524,970.40/786,937.20 = 258,512.80/x
  3. Step 3: Cross multiply
    524,970.40x = 786,937.20 × 258,512.80
  4. Step 4: Simplify right side
    524,970.40x = 203,433,338,996.16
  5. Step 5: Solve for x
    x = 203,433,338,996.16/524,970.40
  6. Step 6: Final answer
    x = 387,513.92

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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.