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Finding the Fourth Proportional to 287,472,553.05, 431,208,829.58 and 287,472,553.05

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Solution

The fourth proportional to 287,472,553.05, 431,208,829.58 and 287,472,553.05 is: 431,208,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,472,553.05 : 431,208,829.58 = 287,472,553.05 : x
  2. Step 2: Convert to fraction form
    287,472,553.05/431,208,829.58 = 287,472,553.05/x
  3. Step 3: Cross multiply
    287,472,553.05x = 431,208,829.58 × 287,472,553.05
  4. Step 4: Simplify right side
    287,472,553.05x = 123,960,703,135,627,600
  5. Step 5: Solve for x
    x = 123,960,703,135,627,600/287,472,553.05
  6. Step 6: Final answer
    x = 431,208,829.58

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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.