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Finding the Fourth Proportional to 281,970.78, 423,034.26 and 130,214.22

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Solution

The fourth proportional to 281,970.78, 423,034.26 and 130,214.22 is: 195,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970.78 : 423,034.26 = 130,214.22 : x
  2. Step 2: Convert to fraction form
    281,970.78/423,034.26 = 130,214.22/x
  3. Step 3: Cross multiply
    281,970.78x = 423,034.26 × 130,214.22
  4. Step 4: Simplify right side
    281,970.78x = 55,085,076,199.18
  5. Step 5: Solve for x
    x = 55,085,076,199.18/281,970.78
  6. Step 6: Final answer
    x = 195,357.39

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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.