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Finding the Fourth Proportional to 270,497.60, 405,746.40 and 130,222.40

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Solution

The fourth proportional to 270,497.60, 405,746.40 and 130,222.40 is: 195,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,497.60 : 405,746.40 = 130,222.40 : x
  2. Step 2: Convert to fraction form
    270,497.60/405,746.40 = 130,222.40/x
  3. Step 3: Cross multiply
    270,497.60x = 405,746.40 × 130,222.40
  4. Step 4: Simplify right side
    270,497.60x = 52,837,269,999.36
  5. Step 5: Solve for x
    x = 52,837,269,999.36/270,497.60
  6. Step 6: Final answer
    x = 195,333.60

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1.5x scale

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.