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Finding the Fourth Proportional to 498,490.75, 687,681.66 and 294,405.37

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Solution

The fourth proportional to 498,490.75, 687,681.66 and 294,405.37 is: 406,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,490.75 : 687,681.66 = 294,405.37 : x
  2. Step 2: Convert to fraction form
    498,490.75/687,681.66 = 294,405.37/x
  3. Step 3: Cross multiply
    498,490.75x = 687,681.66 × 294,405.37
  4. Step 4: Simplify right side
    498,490.75x = 202,457,173,554.51
  5. Step 5: Solve for x
    x = 202,457,173,554.51/498,490.75
  6. Step 6: Final answer
    x = 406,140.29

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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.