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Finding the Fourth Proportional to 707,444.36, 976,357.86 and 417,121.64

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Solution

The fourth proportional to 707,444.36, 976,357.86 and 417,121.64 is: 575,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,444.36 : 976,357.86 = 417,121.64 : x
  2. Step 2: Convert to fraction form
    707,444.36/976,357.86 = 417,121.64/x
  3. Step 3: Cross multiply
    707,444.36x = 976,357.86 × 417,121.64
  4. Step 4: Simplify right side
    707,444.36x = 407,259,991,790.09
  5. Step 5: Solve for x
    x = 407,259,991,790.09/707,444.36
  6. Step 6: Final answer
    x = 575,677.77

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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.