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Finding the Fourth Proportional to 505,822.74, 697,224.64 and 342,427.72

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Solution

The fourth proportional to 505,822.74, 697,224.64 and 342,427.72 is: 472,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,822.74 : 697,224.64 = 342,427.72 : x
  2. Step 2: Convert to fraction form
    505,822.74/697,224.64 = 342,427.72/x
  3. Step 3: Cross multiply
    505,822.74x = 697,224.64 × 342,427.72
  4. Step 4: Simplify right side
    505,822.74x = 238,749,043,803.02
  5. Step 5: Solve for x
    x = 238,749,043,803.02/505,822.74
  6. Step 6: Final answer
    x = 472,001.40

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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.