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Finding the Fourth Proportional to 525,165.28, 724,730.16 and 298,805.92

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Solution

The fourth proportional to 525,165.28, 724,730.16 and 298,805.92 is: 412,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,165.28 : 724,730.16 = 298,805.92 : x
  2. Step 2: Convert to fraction form
    525,165.28/724,730.16 = 298,805.92/x
  3. Step 3: Cross multiply
    525,165.28x = 724,730.16 × 298,805.92
  4. Step 4: Simplify right side
    525,165.28x = 216,553,662,210.55
  5. Step 5: Solve for x
    x = 216,553,662,210.55/525,165.28
  6. Step 6: Final answer
    x = 412,353.35

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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.