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Finding the Fourth Proportional to 564,295,478.34, 778,737,387.50 and 309,987,558.39

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Solution

The fourth proportional to 564,295,478.34, 778,737,387.50 and 309,987,558.39 is: 427,788,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,295,478.34 : 778,737,387.50 = 309,987,558.39 : x
  2. Step 2: Convert to fraction form
    564,295,478.34/778,737,387.50 = 309,987,558.39/x
  3. Step 3: Cross multiply
    564,295,478.34x = 778,737,387.50 × 309,987,558.39
  4. Step 4: Simplify right side
    564,295,478.34x = 241,398,901,378,132,288
  5. Step 5: Solve for x
    x = 241,398,901,378,132,288/564,295,478.34
  6. Step 6: Final answer
    x = 427,788,119.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.