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Finding the Fourth Proportional to 420,172, 630,258 and 124,684

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Solution

The fourth proportional to 420,172, 630,258 and 124,684 is: 187,026

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,172 : 630,258 = 124,684 : x
  2. Step 2: Convert to fraction form
    420,172/630,258 = 124,684/x
  3. Step 3: Cross multiply
    420,172x = 630,258 × 124,684
  4. Step 4: Simplify right side
    420,172x = 78,583,088,472
  5. Step 5: Solve for x
    x = 78,583,088,472/420,172
  6. Step 6: Final answer
    x = 187,026

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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.