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Finding the Fourth Proportional to 601,676.64, 830,324.16 and 329,726.40

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Solution

The fourth proportional to 601,676.64, 830,324.16 and 329,726.40 is: 455,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,676.64 : 830,324.16 = 329,726.40 : x
  2. Step 2: Convert to fraction form
    601,676.64/830,324.16 = 329,726.40/x
  3. Step 3: Cross multiply
    601,676.64x = 830,324.16 × 329,726.40
  4. Step 4: Simplify right side
    601,676.64x = 273,779,796,109.82
  5. Step 5: Solve for x
    x = 273,779,796,109.82/601,676.64
  6. Step 6: Final answer
    x = 455,028.13

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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.