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Finding the Fourth Proportional to 485,102.40, 727,783.20 and 432,873.60

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Solution

The fourth proportional to 485,102.40, 727,783.20 and 432,873.60 is: 649,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,102.40 : 727,783.20 = 432,873.60 : x
  2. Step 2: Convert to fraction form
    485,102.40/727,783.20 = 432,873.60/x
  3. Step 3: Cross multiply
    485,102.40x = 727,783.20 × 432,873.60
  4. Step 4: Simplify right side
    485,102.40x = 315,038,133,803.52
  5. Step 5: Solve for x
    x = 315,038,133,803.52/485,102.40
  6. Step 6: Final answer
    x = 649,426.05

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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.