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Finding the Fourth Proportional to 290,957.40, 401,461.04 and 170,075.30

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Solution

The fourth proportional to 290,957.40, 401,461.04 and 170,075.30 is: 234,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,957.40 : 401,461.04 = 170,075.30 : x
  2. Step 2: Convert to fraction form
    290,957.40/401,461.04 = 170,075.30/x
  3. Step 3: Cross multiply
    290,957.40x = 401,461.04 × 170,075.30
  4. Step 4: Simplify right side
    290,957.40x = 68,278,605,234.20
  5. Step 5: Solve for x
    x = 68,278,605,234.20/290,957.40
  6. Step 6: Final answer
    x = 234,668.74

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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.