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Finding the Fourth Proportional to 346,770, 520,155 and 97,452

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Solution

The fourth proportional to 346,770, 520,155 and 97,452 is: 146,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,770 : 520,155 = 97,452 : x
  2. Step 2: Convert to fraction form
    346,770/520,155 = 97,452/x
  3. Step 3: Cross multiply
    346,770x = 520,155 × 97,452
  4. Step 4: Simplify right side
    346,770x = 50,690,145,060
  5. Step 5: Solve for x
    x = 50,690,145,060/346,770
  6. Step 6: Final answer
    x = 146,178

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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.