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Finding the Fourth Proportional to 285,434,117.30, 400,413,979.90 and 285,434,117.30

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Solution

The fourth proportional to 285,434,117.30, 400,413,979.90 and 285,434,117.30 is: 400,413,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,434,117.30 : 400,413,979.90 = 285,434,117.30 : x
  2. Step 2: Convert to fraction form
    285,434,117.30/400,413,979.90 = 285,434,117.30/x
  3. Step 3: Cross multiply
    285,434,117.30x = 400,413,979.90 × 285,434,117.30
  4. Step 4: Simplify right side
    285,434,117.30x = 114,291,810,907,336,448
  5. Step 5: Solve for x
    x = 114,291,810,907,336,448/285,434,117.30
  6. Step 6: Final answer
    x = 400,413,979.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.