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Finding the Fourth Proportional to 292,522.14, 438,945.12 and 142,763.67

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Solution

The fourth proportional to 292,522.14, 438,945.12 and 142,763.67 is: 214,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,522.14 : 438,945.12 = 142,763.67 : x
  2. Step 2: Convert to fraction form
    292,522.14/438,945.12 = 142,763.67/x
  3. Step 3: Cross multiply
    292,522.14x = 438,945.12 × 142,763.67
  4. Step 4: Simplify right side
    292,522.14x = 62,665,416,259.79
  5. Step 5: Solve for x
    x = 62,665,416,259.79/292,522.14
  6. Step 6: Final answer
    x = 214,224.52

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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.