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Finding the Fourth Proportional to 602,505.12, 831,429 and 330,566.88

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Solution

The fourth proportional to 602,505.12, 831,429 and 330,566.88 is: 456,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,505.12 : 831,429 = 330,566.88 : x
  2. Step 2: Convert to fraction form
    602,505.12/831,429 = 330,566.88/x
  3. Step 3: Cross multiply
    602,505.12x = 831,429 × 330,566.88
  4. Step 4: Simplify right side
    602,505.12x = 274,842,890,471.52
  5. Step 5: Solve for x
    x = 274,842,890,471.52/602,505.12
  6. Step 6: Final answer
    x = 456,166.90

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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.