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Finding the Fourth Proportional to 371,836, 513,051.60 and 210,676.96

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Solution

The fourth proportional to 371,836, 513,051.60 and 210,676.96 is: 290,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,836 : 513,051.60 = 210,676.96 : x
  2. Step 2: Convert to fraction form
    371,836/513,051.60 = 210,676.96/x
  3. Step 3: Cross multiply
    371,836x = 513,051.60 × 210,676.96
  4. Step 4: Simplify right side
    371,836x = 108,088,151,411.14
  5. Step 5: Solve for x
    x = 108,088,151,411.14/371,836
  6. Step 6: Final answer
    x = 290,687.70

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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.