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Finding the Fourth Proportional to 495,722.12, 684,041.00 and 280,816.16

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Solution

The fourth proportional to 495,722.12, 684,041.00 and 280,816.16 is: 387,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,722.12 : 684,041.00 = 280,816.16 : x
  2. Step 2: Convert to fraction form
    495,722.12/684,041.00 = 280,816.16/x
  3. Step 3: Cross multiply
    495,722.12x = 684,041.00 × 280,816.16
  4. Step 4: Simplify right side
    495,722.12x = 192,089,762,078.27
  5. Step 5: Solve for x
    x = 192,089,762,078.27/495,722.12
  6. Step 6: Final answer
    x = 387,494.84

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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.