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Finding the Fourth Proportional to 290,420.10, 435,630.15 and 243,764.10

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Solution

The fourth proportional to 290,420.10, 435,630.15 and 243,764.10 is: 365,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,420.10 : 435,630.15 = 243,764.10 : x
  2. Step 2: Convert to fraction form
    290,420.10/435,630.15 = 243,764.10/x
  3. Step 3: Cross multiply
    290,420.10x = 435,630.15 × 243,764.10
  4. Step 4: Simplify right side
    290,420.10x = 106,190,991,447.62
  5. Step 5: Solve for x
    x = 106,190,991,447.62/290,420.10
  6. Step 6: Final answer
    x = 365,646.15

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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.