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Finding the Fourth Proportional to 356,267.08, 492,274.02 and 280,389.16

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Solution

The fourth proportional to 356,267.08, 492,274.02 and 280,389.16 is: 387,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,267.08 : 492,274.02 = 280,389.16 : x
  2. Step 2: Convert to fraction form
    356,267.08/492,274.02 = 280,389.16/x
  3. Step 3: Cross multiply
    356,267.08x = 492,274.02 × 280,389.16
  4. Step 4: Simplify right side
    356,267.08x = 138,028,298,957.62
  5. Step 5: Solve for x
    x = 138,028,298,957.62/356,267.08
  6. Step 6: Final answer
    x = 387,429.28

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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.