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Finding the Fourth Proportional to 564,295,477.34, 778,737,386.12 and 309,987,557.39

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Solution

The fourth proportional to 564,295,477.34, 778,737,386.12 and 309,987,557.39 is: 427,788,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,295,477.34 : 778,737,386.12 = 309,987,557.39 : x
  2. Step 2: Convert to fraction form
    564,295,477.34/778,737,386.12 = 309,987,557.39/x
  3. Step 3: Cross multiply
    564,295,477.34x = 778,737,386.12 × 309,987,557.39
  4. Step 4: Simplify right side
    564,295,477.34x = 241,398,900,166,168,448
  5. Step 5: Solve for x
    x = 241,398,900,166,168,448/564,295,477.34
  6. Step 6: Final answer
    x = 427,788,117.86

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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.