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Finding the Fourth Proportional to 290,223.60, 435,335.40 and 201,650.10

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Solution

The fourth proportional to 290,223.60, 435,335.40 and 201,650.10 is: 302,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,223.60 : 435,335.40 = 201,650.10 : x
  2. Step 2: Convert to fraction form
    290,223.60/435,335.40 = 201,650.10/x
  3. Step 3: Cross multiply
    290,223.60x = 435,335.40 × 201,650.10
  4. Step 4: Simplify right side
    290,223.60x = 87,785,426,943.54
  5. Step 5: Solve for x
    x = 87,785,426,943.54/290,223.60
  6. Step 6: Final answer
    x = 302,475.15

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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.