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Finding the Fourth Proportional to 601,742.19, 830,413.31 and 329,807.91

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Solution

The fourth proportional to 601,742.19, 830,413.31 and 329,807.91 is: 455,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,742.19 : 830,413.31 = 329,807.91 : x
  2. Step 2: Convert to fraction form
    601,742.19/830,413.31 = 329,807.91/x
  3. Step 3: Cross multiply
    601,742.19x = 830,413.31 × 329,807.91
  4. Step 4: Simplify right side
    601,742.19x = 273,876,876,558.24
  5. Step 5: Solve for x
    x = 273,876,876,558.24/601,742.19
  6. Step 6: Final answer
    x = 455,139.89

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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.