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Finding the Fourth Proportional to 309,457.07, 464,220.32 and 277,671.72

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Solution

The fourth proportional to 309,457.07, 464,220.32 and 277,671.72 is: 416,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,457.07 : 464,220.32 = 277,671.72 : x
  2. Step 2: Convert to fraction form
    309,457.07/464,220.32 = 277,671.72/x
  3. Step 3: Cross multiply
    309,457.07x = 464,220.32 × 277,671.72
  4. Step 4: Simplify right side
    309,457.07x = 128,900,853,324.99
  5. Step 5: Solve for x
    x = 128,900,853,324.99/309,457.07
  6. Step 6: Final answer
    x = 416,538.73

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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.