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Finding the Fourth Proportional to 510,492.88, 765,778.20 and 155,537.20

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Solution

The fourth proportional to 510,492.88, 765,778.20 and 155,537.20 is: 233,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,492.88 : 765,778.20 = 155,537.20 : x
  2. Step 2: Convert to fraction form
    510,492.88/765,778.20 = 155,537.20/x
  3. Step 3: Cross multiply
    510,492.88x = 765,778.20 × 155,537.20
  4. Step 4: Simplify right side
    510,492.88x = 119,106,997,049.04
  5. Step 5: Solve for x
    x = 119,106,997,049.04/510,492.88
  6. Step 6: Final answer
    x = 233,317.65

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1.5x scale

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.