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Finding the Fourth Proportional to 308,742.70, 463,114.05 and 258,004.30

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Solution

The fourth proportional to 308,742.70, 463,114.05 and 258,004.30 is: 387,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,742.70 : 463,114.05 = 258,004.30 : x
  2. Step 2: Convert to fraction form
    308,742.70/463,114.05 = 258,004.30/x
  3. Step 3: Cross multiply
    308,742.70x = 463,114.05 × 258,004.30
  4. Step 4: Simplify right side
    308,742.70x = 119,485,416,290.42
  5. Step 5: Solve for x
    x = 119,485,416,290.42/308,742.70
  6. Step 6: Final answer
    x = 387,006.45

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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.