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Finding the Fourth Proportional to 378,411,339.60, 567,617,009.40 and 378,411,339.60

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Solution

The fourth proportional to 378,411,339.60, 567,617,009.40 and 378,411,339.60 is: 567,617,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,411,339.60 : 567,617,009.40 = 378,411,339.60 : x
  2. Step 2: Convert to fraction form
    378,411,339.60/567,617,009.40 = 378,411,339.60/x
  3. Step 3: Cross multiply
    378,411,339.60x = 567,617,009.40 × 378,411,339.60
  4. Step 4: Simplify right side
    378,411,339.60x = 214,792,712,906,799,808
  5. Step 5: Solve for x
    x = 214,792,712,906,799,808/378,411,339.60
  6. Step 6: Final answer
    x = 567,617,009.40

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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.