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Finding the Fourth Proportional to 313,886.40, 470,829.60 and 290,846.40

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Solution

The fourth proportional to 313,886.40, 470,829.60 and 290,846.40 is: 436,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886.40 : 470,829.60 = 290,846.40 : x
  2. Step 2: Convert to fraction form
    313,886.40/470,829.60 = 290,846.40/x
  3. Step 3: Cross multiply
    313,886.40x = 470,829.60 × 290,846.40
  4. Step 4: Simplify right side
    313,886.40x = 136,939,094,173.44
  5. Step 5: Solve for x
    x = 136,939,094,173.44/313,886.40
  6. Step 6: Final answer
    x = 436,269.60

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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.