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Finding the Fourth Proportional to 510,955.40, 766,548.30 and 155,985.80

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Solution

The fourth proportional to 510,955.40, 766,548.30 and 155,985.80 is: 234,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,955.40 : 766,548.30 = 155,985.80 : x
  2. Step 2: Convert to fraction form
    510,955.40/766,548.30 = 155,985.80/x
  3. Step 3: Cross multiply
    510,955.40x = 766,548.30 × 155,985.80
  4. Step 4: Simplify right side
    510,955.40x = 119,570,649,814.14
  5. Step 5: Solve for x
    x = 119,570,649,814.14/510,955.40
  6. Step 6: Final answer
    x = 234,013.87

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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.