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Finding the Fourth Proportional to 209,952,230.30, 314,928,345.45 and 189,796,838.30

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Solution

The fourth proportional to 209,952,230.30, 314,928,345.45 and 189,796,838.30 is: 284,695,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,230.30 : 314,928,345.45 = 189,796,838.30 : x
  2. Step 2: Convert to fraction form
    209,952,230.30/314,928,345.45 = 189,796,838.30/x
  3. Step 3: Cross multiply
    209,952,230.30x = 314,928,345.45 × 189,796,838.30
  4. Step 4: Simplify right side
    209,952,230.30x = 59,772,404,257,460,192
  5. Step 5: Solve for x
    x = 59,772,404,257,460,192/209,952,230.30
  6. Step 6: Final answer
    x = 284,695,257.45

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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.