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Finding the Fourth Proportional to 613,412.86, 919,373.23 and 328,403.02

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Solution

The fourth proportional to 613,412.86, 919,373.23 and 328,403.02 is: 492,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,412.86 : 919,373.23 = 328,403.02 : x
  2. Step 2: Convert to fraction form
    613,412.86/919,373.23 = 328,403.02/x
  3. Step 3: Cross multiply
    613,412.86x = 919,373.23 × 328,403.02
  4. Step 4: Simplify right side
    613,412.86x = 301,924,939,821.28
  5. Step 5: Solve for x
    x = 301,924,939,821.28/613,412.86
  6. Step 6: Final answer
    x = 492,205.11

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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.