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Finding the Fourth Proportional to 610,146, 842,001.72 and 371,682

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Solution

The fourth proportional to 610,146, 842,001.72 and 371,682 is: 512,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,146 : 842,001.72 = 371,682 : x
  2. Step 2: Convert to fraction form
    610,146/842,001.72 = 371,682/x
  3. Step 3: Cross multiply
    610,146x = 842,001.72 × 371,682
  4. Step 4: Simplify right side
    610,146x = 312,956,883,293.04
  5. Step 5: Solve for x
    x = 312,956,883,293.04/610,146
  6. Step 6: Final answer
    x = 512,921.31

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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.