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Finding the Fourth Proportional to 602,150.19, 830,978.69 and 330,201.90

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Solution

The fourth proportional to 602,150.19, 830,978.69 and 330,201.90 is: 455,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,150.19 : 830,978.69 = 330,201.90 : x
  2. Step 2: Convert to fraction form
    602,150.19/830,978.69 = 330,201.90/x
  3. Step 3: Cross multiply
    602,150.19x = 830,978.69 × 330,201.90
  4. Step 4: Simplify right side
    602,150.19x = 274,390,740,646.50
  5. Step 5: Solve for x
    x = 274,390,740,646.50/602,150.19
  6. Step 6: Final answer
    x = 455,684.89

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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.