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Finding the Fourth Proportional to 288,266.32, 397,813.98 and 180,840.88

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Solution

The fourth proportional to 288,266.32, 397,813.98 and 180,840.88 is: 249,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,266.32 : 397,813.98 = 180,840.88 : x
  2. Step 2: Convert to fraction form
    288,266.32/397,813.98 = 180,840.88/x
  3. Step 3: Cross multiply
    288,266.32x = 397,813.98 × 180,840.88
  4. Step 4: Simplify right side
    288,266.32x = 71,941,030,219.50
  5. Step 5: Solve for x
    x = 71,941,030,219.50/288,266.32
  6. Step 6: Final answer
    x = 249,564.47

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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.