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Finding the Fourth Proportional to 400,972.80, 602,042.40 and 301,828.80

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Solution

The fourth proportional to 400,972.80, 602,042.40 and 301,828.80 is: 453,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,972.80 : 602,042.40 = 301,828.80 : x
  2. Step 2: Convert to fraction form
    400,972.80/602,042.40 = 301,828.80/x
  3. Step 3: Cross multiply
    400,972.80x = 602,042.40 × 301,828.80
  4. Step 4: Simplify right side
    400,972.80x = 181,713,735,141.12
  5. Step 5: Solve for x
    x = 181,713,735,141.12/400,972.80
  6. Step 6: Final answer
    x = 453,182.20

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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.