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Finding the Fourth Proportional to 652,284.80, 978,427.20 and 416,088.80

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Solution

The fourth proportional to 652,284.80, 978,427.20 and 416,088.80 is: 624,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,284.80 : 978,427.20 = 416,088.80 : x
  2. Step 2: Convert to fraction form
    652,284.80/978,427.20 = 416,088.80/x
  3. Step 3: Cross multiply
    652,284.80x = 978,427.20 × 416,088.80
  4. Step 4: Simplify right side
    652,284.80x = 407,112,599,535.36
  5. Step 5: Solve for x
    x = 407,112,599,535.36/652,284.80
  6. Step 6: Final answer
    x = 624,133.20

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