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Finding the Fourth Proportional to 261,878.70, 361,383.48 and 160,075.20

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Solution

The fourth proportional to 261,878.70, 361,383.48 and 160,075.20 is: 220,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,878.70 : 361,383.48 = 160,075.20 : x
  2. Step 2: Convert to fraction form
    261,878.70/361,383.48 = 160,075.20/x
  3. Step 3: Cross multiply
    261,878.70x = 361,383.48 × 160,075.20
  4. Step 4: Simplify right side
    261,878.70x = 57,848,532,837.70
  5. Step 5: Solve for x
    x = 57,848,532,837.70/261,878.70
  6. Step 6: Final answer
    x = 220,898.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.