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Finding the Fourth Proportional to 348,461, 522,691.44 and 99,143

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Solution

The fourth proportional to 348,461, 522,691.44 and 99,143 is: 148,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,461 : 522,691.44 = 99,143 : x
  2. Step 2: Convert to fraction form
    348,461/522,691.44 = 99,143/x
  3. Step 3: Cross multiply
    348,461x = 522,691.44 × 99,143
  4. Step 4: Simplify right side
    348,461x = 51,821,197,435.92
  5. Step 5: Solve for x
    x = 51,821,197,435.92/348,461
  6. Step 6: Final answer
    x = 148,714.48

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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.