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Finding the Fourth Proportional to 583,969, 805,879.14 and 315,698.92

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Solution

The fourth proportional to 583,969, 805,879.14 and 315,698.92 is: 435,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,969 : 805,879.14 = 315,698.92 : x
  2. Step 2: Convert to fraction form
    583,969/805,879.14 = 315,698.92/x
  3. Step 3: Cross multiply
    583,969x = 805,879.14 × 315,698.92
  4. Step 4: Simplify right side
    583,969x = 254,415,174,148.53
  5. Step 5: Solve for x
    x = 254,415,174,148.53/583,969
  6. Step 6: Final answer
    x = 435,665.55

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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.