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Finding the Fourth Proportional to 290,155.06, 400,421.87 and 162,838.45

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Solution

The fourth proportional to 290,155.06, 400,421.87 and 162,838.45 is: 224,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,155.06 : 400,421.87 = 162,838.45 : x
  2. Step 2: Convert to fraction form
    290,155.06/400,421.87 = 162,838.45/x
  3. Step 3: Cross multiply
    290,155.06x = 400,421.87 × 162,838.45
  4. Step 4: Simplify right side
    290,155.06x = 65,204,076,656.90
  5. Step 5: Solve for x
    x = 65,204,076,656.90/290,155.06
  6. Step 6: Final answer
    x = 224,721.49

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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.