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Finding the Fourth Proportional to 292,279.60, 438,419.40 and 274,783.60

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Solution

The fourth proportional to 292,279.60, 438,419.40 and 274,783.60 is: 412,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,279.60 : 438,419.40 = 274,783.60 : x
  2. Step 2: Convert to fraction form
    292,279.60/438,419.40 = 274,783.60/x
  3. Step 3: Cross multiply
    292,279.60x = 438,419.40 × 274,783.60
  4. Step 4: Simplify right side
    292,279.60x = 120,470,461,041.84
  5. Step 5: Solve for x
    x = 120,470,461,041.84/292,279.60
  6. Step 6: Final answer
    x = 412,175.40

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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.