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Finding the Fourth Proportional to 309,386.76, 463,815.45 and 140,846.82

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Solution

The fourth proportional to 309,386.76, 463,815.45 and 140,846.82 is: 211,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,386.76 : 463,815.45 = 140,846.82 : x
  2. Step 2: Convert to fraction form
    309,386.76/463,815.45 = 140,846.82/x
  3. Step 3: Cross multiply
    309,386.76x = 463,815.45 × 140,846.82
  4. Step 4: Simplify right side
    309,386.76x = 65,326,931,199.37
  5. Step 5: Solve for x
    x = 65,326,931,199.37/309,386.76
  6. Step 6: Final answer
    x = 211,149.73

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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.