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Finding the Fourth Proportional to 601,541.88, 830,114.40 and 339,872.76

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Solution

The fourth proportional to 601,541.88, 830,114.40 and 339,872.76 is: 469,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,541.88 : 830,114.40 = 339,872.76 : x
  2. Step 2: Convert to fraction form
    601,541.88/830,114.40 = 339,872.76/x
  3. Step 3: Cross multiply
    601,541.88x = 830,114.40 × 339,872.76
  4. Step 4: Simplify right side
    601,541.88x = 282,133,272,243.74
  5. Step 5: Solve for x
    x = 282,133,272,243.74/601,541.88
  6. Step 6: Final answer
    x = 469,016.84

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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.