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Finding the Fourth Proportional to 525,153.78, 724,708.53 and 286,689.78

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Solution

The fourth proportional to 525,153.78, 724,708.53 and 286,689.78 is: 395,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,153.78 : 724,708.53 = 286,689.78 : x
  2. Step 2: Convert to fraction form
    525,153.78/724,708.53 = 286,689.78/x
  3. Step 3: Cross multiply
    525,153.78x = 724,708.53 × 286,689.78
  4. Step 4: Simplify right side
    525,153.78x = 207,766,529,029.82
  5. Step 5: Solve for x
    x = 207,766,529,029.82/525,153.78
  6. Step 6: Final answer
    x = 395,629.88

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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.