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Finding the Fourth Proportional to 524,944, 724,422.72 and 286,480

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Solution

The fourth proportional to 524,944, 724,422.72 and 286,480 is: 395,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,944 : 724,422.72 = 286,480 : x
  2. Step 2: Convert to fraction form
    524,944/724,422.72 = 286,480/x
  3. Step 3: Cross multiply
    524,944x = 724,422.72 × 286,480
  4. Step 4: Simplify right side
    524,944x = 207,532,620,825.60
  5. Step 5: Solve for x
    x = 207,532,620,825.60/524,944
  6. Step 6: Final answer
    x = 395,342.40

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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.