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Finding the Fourth Proportional to 652,263.20, 978,394.80 and 297,969.20

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Solution

The fourth proportional to 652,263.20, 978,394.80 and 297,969.20 is: 446,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,263.20 : 978,394.80 = 297,969.20 : x
  2. Step 2: Convert to fraction form
    652,263.20/978,394.80 = 297,969.20/x
  3. Step 3: Cross multiply
    652,263.20x = 978,394.80 × 297,969.20
  4. Step 4: Simplify right side
    652,263.20x = 291,531,515,840.16
  5. Step 5: Solve for x
    x = 291,531,515,840.16/652,263.20
  6. Step 6: Final answer
    x = 446,953.80

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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.