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Finding the Fourth Proportional to 382,904.40, 528,552.62 and 301,019.02

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Solution

The fourth proportional to 382,904.40, 528,552.62 and 301,019.02 is: 415,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,904.40 : 528,552.62 = 301,019.02 : x
  2. Step 2: Convert to fraction form
    382,904.40/528,552.62 = 301,019.02/x
  3. Step 3: Cross multiply
    382,904.40x = 528,552.62 × 301,019.02
  4. Step 4: Simplify right side
    382,904.40x = 159,104,393,281.28
  5. Step 5: Solve for x
    x = 159,104,393,281.28/382,904.40
  6. Step 6: Final answer
    x = 415,519.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.