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Finding the Fourth Proportional to 510,720.54, 766,204.89 and 155,740.86

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Solution

The fourth proportional to 510,720.54, 766,204.89 and 155,740.86 is: 233,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,720.54 : 766,204.89 = 155,740.86 : x
  2. Step 2: Convert to fraction form
    510,720.54/766,204.89 = 155,740.86/x
  3. Step 3: Cross multiply
    510,720.54x = 766,204.89 × 155,740.86
  4. Step 4: Simplify right side
    510,720.54x = 119,329,408,504.81
  5. Step 5: Solve for x
    x = 119,329,408,504.81/510,720.54
  6. Step 6: Final answer
    x = 233,649.13

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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.