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Finding the Fourth Proportional to 340,480, 510,720 and 107,008

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Solution

The fourth proportional to 340,480, 510,720 and 107,008 is: 160,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,480 : 510,720 = 107,008 : x
  2. Step 2: Convert to fraction form
    340,480/510,720 = 107,008/x
  3. Step 3: Cross multiply
    340,480x = 510,720 × 107,008
  4. Step 4: Simplify right side
    340,480x = 54,651,125,760
  5. Step 5: Solve for x
    x = 54,651,125,760/340,480
  6. Step 6: Final answer
    x = 160,512

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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.