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Finding the Fourth Proportional to 415,192.91, 621,903.62 and 315,400.10

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Solution

The fourth proportional to 415,192.91, 621,903.62 and 315,400.10 is: 472,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,192.91 : 621,903.62 = 315,400.10 : x
  2. Step 2: Convert to fraction form
    415,192.91/621,903.62 = 315,400.10/x
  3. Step 3: Cross multiply
    415,192.91x = 621,903.62 × 315,400.10
  4. Step 4: Simplify right side
    415,192.91x = 196,148,461,617.34
  5. Step 5: Solve for x
    x = 196,148,461,617.34/415,192.91
  6. Step 6: Final answer
    x = 472,427.30

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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.