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Finding the Fourth Proportional to 707,986.44, 977,016.47 and 385,696.76

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Solution

The fourth proportional to 707,986.44, 977,016.47 and 385,696.76 is: 532,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,986.44 : 977,016.47 = 385,696.76 : x
  2. Step 2: Convert to fraction form
    707,986.44/977,016.47 = 385,696.76/x
  3. Step 3: Cross multiply
    707,986.44x = 977,016.47 × 385,696.76
  4. Step 4: Simplify right side
    707,986.44x = 376,832,080,132.07
  5. Step 5: Solve for x
    x = 376,832,080,132.07/707,986.44
  6. Step 6: Final answer
    x = 532,258.89

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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.