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Finding the Fourth Proportional to 491,569.70, 678,004 and 370,716.08

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Solution

The fourth proportional to 491,569.70, 678,004 and 370,716.08 is: 511,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,569.70 : 678,004 = 370,716.08 : x
  2. Step 2: Convert to fraction form
    491,569.70/678,004 = 370,716.08/x
  3. Step 3: Cross multiply
    491,569.70x = 678,004 × 370,716.08
  4. Step 4: Simplify right side
    491,569.70x = 251,346,985,104.32
  5. Step 5: Solve for x
    x = 251,346,985,104.32/491,569.70
  6. Step 6: Final answer
    x = 511,315.05

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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.