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Finding the Fourth Proportional to 493,802.63, 740,704.02 and 138,816.74

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Solution

The fourth proportional to 493,802.63, 740,704.02 and 138,816.74 is: 208,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,802.63 : 740,704.02 = 138,816.74 : x
  2. Step 2: Convert to fraction form
    493,802.63/740,704.02 = 138,816.74/x
  3. Step 3: Cross multiply
    493,802.63x = 740,704.02 × 138,816.74
  4. Step 4: Simplify right side
    493,802.63x = 102,822,117,361.30
  5. Step 5: Solve for x
    x = 102,822,117,361.30/493,802.63
  6. Step 6: Final answer
    x = 208,225.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.