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Finding the Fourth Proportional to 652,068.72, 978,113.32 and 297,068.40

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Solution

The fourth proportional to 652,068.72, 978,113.32 and 297,068.40 is: 445,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,068.72 : 978,113.32 = 297,068.40 : x
  2. Step 2: Convert to fraction form
    652,068.72/978,113.32 = 297,068.40/x
  3. Step 3: Cross multiply
    652,068.72x = 978,113.32 × 297,068.40
  4. Step 4: Simplify right side
    652,068.72x = 290,566,558,991.09
  5. Step 5: Solve for x
    x = 290,566,558,991.09/652,068.72
  6. Step 6: Final answer
    x = 445,607.27

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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.