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Finding the Fourth Proportional to 309,701.40, 463,968.90 and 159,430.20

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Solution

The fourth proportional to 309,701.40, 463,968.90 and 159,430.20 is: 238,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,701.40 : 463,968.90 = 159,430.20 : x
  2. Step 2: Convert to fraction form
    309,701.40/463,968.90 = 159,430.20/x
  3. Step 3: Cross multiply
    309,701.40x = 463,968.90 × 159,430.20
  4. Step 4: Simplify right side
    309,701.40x = 73,970,654,520.78
  5. Step 5: Solve for x
    x = 73,970,654,520.78/309,701.40
  6. Step 6: Final answer
    x = 238,845.08

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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.