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Finding the Fourth Proportional to 601,751.56, 830,308.26 and 386,842.36

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Solution

The fourth proportional to 601,751.56, 830,308.26 and 386,842.36 is: 533,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,751.56 : 830,308.26 = 386,842.36 : x
  2. Step 2: Convert to fraction form
    601,751.56/830,308.26 = 386,842.36/x
  3. Step 3: Cross multiply
    601,751.56x = 830,308.26 × 386,842.36
  4. Step 4: Simplify right side
    601,751.56x = 321,198,406,825.89
  5. Step 5: Solve for x
    x = 321,198,406,825.89/601,751.56
  6. Step 6: Final answer
    x = 533,772.45

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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.