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Finding the Fourth Proportional to 506,378.06, 698,887.64 and 291,642.44

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Solution

The fourth proportional to 506,378.06, 698,887.64 and 291,642.44 is: 402,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,378.06 : 698,887.64 = 291,642.44 : x
  2. Step 2: Convert to fraction form
    506,378.06/698,887.64 = 291,642.44/x
  3. Step 3: Cross multiply
    506,378.06x = 698,887.64 × 291,642.44
  4. Step 4: Simplify right side
    506,378.06x = 203,825,291,662.79
  5. Step 5: Solve for x
    x = 203,825,291,662.79/506,378.06
  6. Step 6: Final answer
    x = 402,516.04

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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.