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Finding the Fourth Proportional to 525,124.08, 724,687.92 and 298,784.16

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Solution

The fourth proportional to 525,124.08, 724,687.92 and 298,784.16 is: 412,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,124.08 : 724,687.92 = 298,784.16 : x
  2. Step 2: Convert to fraction form
    525,124.08/724,687.92 = 298,784.16/x
  3. Step 3: Cross multiply
    525,124.08x = 724,687.92 × 298,784.16
  4. Step 4: Simplify right side
    525,124.08x = 216,525,271,439.35
  5. Step 5: Solve for x
    x = 216,525,271,439.35/525,124.08
  6. Step 6: Final answer
    x = 412,331.64

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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.