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Finding the Fourth Proportional to 708,996.70, 978,427.10 and 386,706.81

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Solution

The fourth proportional to 708,996.70, 978,427.10 and 386,706.81 is: 533,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,996.70 : 978,427.10 = 386,706.81 : x
  2. Step 2: Convert to fraction form
    708,996.70/978,427.10 = 386,706.81/x
  3. Step 3: Cross multiply
    708,996.70x = 978,427.10 × 386,706.81
  4. Step 4: Simplify right side
    708,996.70x = 378,364,423,625.32
  5. Step 5: Solve for x
    x = 378,364,423,625.32/708,996.70
  6. Step 6: Final answer
    x = 533,661.76

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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.