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Finding the Fourth Proportional to 652,047.80, 978,071.70 and 628,428.20

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Solution

The fourth proportional to 652,047.80, 978,071.70 and 628,428.20 is: 942,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,047.80 : 978,071.70 = 628,428.20 : x
  2. Step 2: Convert to fraction form
    652,047.80/978,071.70 = 628,428.20/x
  3. Step 3: Cross multiply
    652,047.80x = 978,071.70 × 628,428.20
  4. Step 4: Simplify right side
    652,047.80x = 614,647,837,901.94
  5. Step 5: Solve for x
    x = 614,647,837,901.94/652,047.80
  6. Step 6: Final answer
    x = 942,642.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.