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Finding the Fourth Proportional to 450,645.17, 621,958.64 and 257,051.93

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Solution

The fourth proportional to 450,645.17, 621,958.64 and 257,051.93 is: 354,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,645.17 : 621,958.64 = 257,051.93 : x
  2. Step 2: Convert to fraction form
    450,645.17/621,958.64 = 257,051.93/x
  3. Step 3: Cross multiply
    450,645.17x = 621,958.64 × 257,051.93
  4. Step 4: Simplify right side
    450,645.17x = 159,875,664,397.12
  5. Step 5: Solve for x
    x = 159,875,664,397.12/450,645.17
  6. Step 6: Final answer
    x = 354,770.62

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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.