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Finding the Fourth Proportional to 288,114.90, 432,140 and 110,497.30

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Solution

The fourth proportional to 288,114.90, 432,140 and 110,497.30 is: 165,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,114.90 : 432,140 = 110,497.30 : x
  2. Step 2: Convert to fraction form
    288,114.90/432,140 = 110,497.30/x
  3. Step 3: Cross multiply
    288,114.90x = 432,140 × 110,497.30
  4. Step 4: Simplify right side
    288,114.90x = 47,750,303,222
  5. Step 5: Solve for x
    x = 47,750,303,222/288,114.90
  6. Step 6: Final answer
    x = 165,733.54

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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.