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Finding the Fourth Proportional to 553,646.75, 764,032.47 and 298,997.90

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Solution

The fourth proportional to 553,646.75, 764,032.47 and 298,997.90 is: 412,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,646.75 : 764,032.47 = 298,997.90 : x
  2. Step 2: Convert to fraction form
    553,646.75/764,032.47 = 298,997.90/x
  3. Step 3: Cross multiply
    553,646.75x = 764,032.47 × 298,997.90
  4. Step 4: Simplify right side
    553,646.75x = 228,444,104,061.81
  5. Step 5: Solve for x
    x = 228,444,104,061.81/553,646.75
  6. Step 6: Final answer
    x = 412,617.08

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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.