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Finding the Fourth Proportional to 634,291.20, 875,362.32 and 419,053.68

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Solution

The fourth proportional to 634,291.20, 875,362.32 and 419,053.68 is: 578,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,291.20 : 875,362.32 = 419,053.68 : x
  2. Step 2: Convert to fraction form
    634,291.20/875,362.32 = 419,053.68/x
  3. Step 3: Cross multiply
    634,291.20x = 875,362.32 × 419,053.68
  4. Step 4: Simplify right side
    634,291.20x = 366,823,801,529.34
  5. Step 5: Solve for x
    x = 366,823,801,529.34/634,291.20
  6. Step 6: Final answer
    x = 578,320.81

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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.