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Finding the Fourth Proportional to 418,155.70, 577,104.34 and 248,390.50

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Solution

The fourth proportional to 418,155.70, 577,104.34 and 248,390.50 is: 342,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,155.70 : 577,104.34 = 248,390.50 : x
  2. Step 2: Convert to fraction form
    418,155.70/577,104.34 = 248,390.50/x
  3. Step 3: Cross multiply
    418,155.70x = 577,104.34 × 248,390.50
  4. Step 4: Simplify right side
    418,155.70x = 143,347,235,564.77
  5. Step 5: Solve for x
    x = 143,347,235,564.77/418,155.70
  6. Step 6: Final answer
    x = 342,808.28

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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.