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Finding the Fourth Proportional to 290,223.78, 435,503.74 and 121,729.10

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Solution

The fourth proportional to 290,223.78, 435,503.74 and 121,729.10 is: 182,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,223.78 : 435,503.74 = 121,729.10 : x
  2. Step 2: Convert to fraction form
    290,223.78/435,503.74 = 121,729.10/x
  3. Step 3: Cross multiply
    290,223.78x = 435,503.74 × 121,729.10
  4. Step 4: Simplify right side
    290,223.78x = 53,013,478,316.83
  5. Step 5: Solve for x
    x = 53,013,478,316.83/290,223.78
  6. Step 6: Final answer
    x = 182,664.14

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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.