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Finding the Fourth Proportional to 309,740.40, 464,610.60 and 288,745.20

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Solution

The fourth proportional to 309,740.40, 464,610.60 and 288,745.20 is: 433,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,740.40 : 464,610.60 = 288,745.20 : x
  2. Step 2: Convert to fraction form
    309,740.40/464,610.60 = 288,745.20/x
  3. Step 3: Cross multiply
    309,740.40x = 464,610.60 × 288,745.20
  4. Step 4: Simplify right side
    309,740.40x = 134,154,080,619.12
  5. Step 5: Solve for x
    x = 134,154,080,619.12/309,740.40
  6. Step 6: Final answer
    x = 433,117.80

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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.