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Finding the Fourth Proportional to 531,111.65, 797,064.21 and 306,171.86

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Solution

The fourth proportional to 531,111.65, 797,064.21 and 306,171.86 is: 459,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,111.65 : 797,064.21 = 306,171.86 : x
  2. Step 2: Convert to fraction form
    531,111.65/797,064.21 = 306,171.86/x
  3. Step 3: Cross multiply
    531,111.65x = 797,064.21 × 306,171.86
  4. Step 4: Simplify right side
    531,111.65x = 244,038,633,707.79
  5. Step 5: Solve for x
    x = 244,038,633,707.79/531,111.65
  6. Step 6: Final answer
    x = 459,486.50

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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.