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Finding the Fourth Proportional to 421,707.79, 582,050.17 and 291,068.86

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Solution

The fourth proportional to 421,707.79, 582,050.17 and 291,068.86 is: 401,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,707.79 : 582,050.17 = 291,068.86 : x
  2. Step 2: Convert to fraction form
    421,707.79/582,050.17 = 291,068.86/x
  3. Step 3: Cross multiply
    421,707.79x = 582,050.17 × 291,068.86
  4. Step 4: Simplify right side
    421,707.79x = 169,416,679,444.71
  5. Step 5: Solve for x
    x = 169,416,679,444.71/421,707.79
  6. Step 6: Final answer
    x = 401,739.51

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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.