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Finding the Fourth Proportional to 564,085,651.47, 778,462,511.22 and 313,190,055.68

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Solution

The fourth proportional to 564,085,651.47, 778,462,511.22 and 313,190,055.68 is: 432,215,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,085,651.47 : 778,462,511.22 = 313,190,055.68 : x
  2. Step 2: Convert to fraction form
    564,085,651.47/778,462,511.22 = 313,190,055.68/x
  3. Step 3: Cross multiply
    564,085,651.47x = 778,462,511.22 × 313,190,055.68
  4. Step 4: Simplify right side
    564,085,651.47x = 243,806,717,237,387,808
  5. Step 5: Solve for x
    x = 243,806,717,237,387,808/564,085,651.47
  6. Step 6: Final answer
    x = 432,215,775.39

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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.