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Finding the Fourth Proportional to 408,606.32, 563,895 and 340,509.35

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Solution

The fourth proportional to 408,606.32, 563,895 and 340,509.35 is: 469,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,606.32 : 563,895 = 340,509.35 : x
  2. Step 2: Convert to fraction form
    408,606.32/563,895 = 340,509.35/x
  3. Step 3: Cross multiply
    408,606.32x = 563,895 × 340,509.35
  4. Step 4: Simplify right side
    408,606.32x = 192,011,521,327.99
  5. Step 5: Solve for x
    x = 192,011,521,327.99/408,606.32
  6. Step 6: Final answer
    x = 469,918.14

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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.