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Finding the Fourth Proportional to 309,176.20, 463,764.30 and 256,032.10

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Solution

The fourth proportional to 309,176.20, 463,764.30 and 256,032.10 is: 384,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,176.20 : 463,764.30 = 256,032.10 : x
  2. Step 2: Convert to fraction form
    309,176.20/463,764.30 = 256,032.10/x
  3. Step 3: Cross multiply
    309,176.20x = 463,764.30 × 256,032.10
  4. Step 4: Simplify right side
    309,176.20x = 118,738,547,634.03
  5. Step 5: Solve for x
    x = 118,738,547,634.03/309,176.20
  6. Step 6: Final answer
    x = 384,048.15

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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.