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Finding the Fourth Proportional to 408,582.48, 563,862.03 and 340,485.46

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Solution

The fourth proportional to 408,582.48, 563,862.03 and 340,485.46 is: 469,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,582.48 : 563,862.03 = 340,485.46 : x
  2. Step 2: Convert to fraction form
    408,582.48/563,862.03 = 340,485.46/x
  3. Step 3: Cross multiply
    408,582.48x = 563,862.03 × 340,485.46
  4. Step 4: Simplify right side
    408,582.48x = 191,986,822,661.08
  5. Step 5: Solve for x
    x = 191,986,822,661.08/408,582.48
  6. Step 6: Final answer
    x = 469,885.11

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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.