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Finding the Fourth Proportional to 370,157.24, 510,796.32 and 209,045

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Solution

The fourth proportional to 370,157.24, 510,796.32 and 209,045 is: 288,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,157.24 : 510,796.32 = 209,045 : x
  2. Step 2: Convert to fraction form
    370,157.24/510,796.32 = 209,045/x
  3. Step 3: Cross multiply
    370,157.24x = 510,796.32 × 209,045
  4. Step 4: Simplify right side
    370,157.24x = 106,779,416,714.40
  5. Step 5: Solve for x
    x = 106,779,416,714.40/370,157.24
  6. Step 6: Final answer
    x = 288,470.43

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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.