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Finding the Fourth Proportional to 357,563.77, 493,317.64 and 202,493.93

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Solution

The fourth proportional to 357,563.77, 493,317.64 and 202,493.93 is: 279,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,563.77 : 493,317.64 = 202,493.93 : x
  2. Step 2: Convert to fraction form
    357,563.77/493,317.64 = 202,493.93/x
  3. Step 3: Cross multiply
    357,563.77x = 493,317.64 × 202,493.93
  4. Step 4: Simplify right side
    357,563.77x = 99,893,825,448.45
  5. Step 5: Solve for x
    x = 99,893,825,448.45/357,563.77
  6. Step 6: Final answer
    x = 279,373.46

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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.