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Finding the Fourth Proportional to 285,433,901.80, 400,413,678.20 and 285,433,901.80

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Solution

The fourth proportional to 285,433,901.80, 400,413,678.20 and 285,433,901.80 is: 400,413,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,433,901.80 : 400,413,678.20 = 285,433,901.80 : x
  2. Step 2: Convert to fraction form
    285,433,901.80/400,413,678.20 = 285,433,901.80/x
  3. Step 3: Cross multiply
    285,433,901.80x = 400,413,678.20 × 285,433,901.80
  4. Step 4: Simplify right side
    285,433,901.80x = 114,291,638,502,715,600
  5. Step 5: Solve for x
    x = 114,291,638,502,715,600/285,433,901.80
  6. Step 6: Final answer
    x = 400,413,678.20

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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.