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Finding the Fourth Proportional to 403,728.10, 606,904.35 and 345,991.30

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Solution

The fourth proportional to 403,728.10, 606,904.35 and 345,991.30 is: 520,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,728.10 : 606,904.35 = 345,991.30 : x
  2. Step 2: Convert to fraction form
    403,728.10/606,904.35 = 345,991.30/x
  3. Step 3: Cross multiply
    403,728.10x = 606,904.35 × 345,991.30
  4. Step 4: Simplify right side
    403,728.10x = 209,983,625,032.16
  5. Step 5: Solve for x
    x = 209,983,625,032.16/403,728.10
  6. Step 6: Final answer
    x = 520,111.49

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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.