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Finding the Fourth Proportional to 613,984.86, 920,203.74 and 328,968.54

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Solution

The fourth proportional to 613,984.86, 920,203.74 and 328,968.54 is: 493,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,984.86 : 920,203.74 = 328,968.54 : x
  2. Step 2: Convert to fraction form
    613,984.86/920,203.74 = 328,968.54/x
  3. Step 3: Cross multiply
    613,984.86x = 920,203.74 × 328,968.54
  4. Step 4: Simplify right side
    613,984.86x = 302,718,080,850.34
  5. Step 5: Solve for x
    x = 302,718,080,850.34/613,984.86
  6. Step 6: Final answer
    x = 493,038.35

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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.