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Finding the Fourth Proportional to 470,760, 706,140 and 138,336

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Solution

The fourth proportional to 470,760, 706,140 and 138,336 is: 207,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,760 : 706,140 = 138,336 : x
  2. Step 2: Convert to fraction form
    470,760/706,140 = 138,336/x
  3. Step 3: Cross multiply
    470,760x = 706,140 × 138,336
  4. Step 4: Simplify right side
    470,760x = 97,684,583,040
  5. Step 5: Solve for x
    x = 97,684,583,040/470,760
  6. Step 6: Final answer
    x = 207,504

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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.