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Finding the Fourth Proportional to 290,420.80, 435,631.20 and 219,457.60

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Solution

The fourth proportional to 290,420.80, 435,631.20 and 219,457.60 is: 329,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,420.80 : 435,631.20 = 219,457.60 : x
  2. Step 2: Convert to fraction form
    290,420.80/435,631.20 = 219,457.60/x
  3. Step 3: Cross multiply
    290,420.80x = 435,631.20 × 219,457.60
  4. Step 4: Simplify right side
    290,420.80x = 95,602,577,637.12
  5. Step 5: Solve for x
    x = 95,602,577,637.12/290,420.80
  6. Step 6: Final answer
    x = 329,186.40

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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.