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Finding the Fourth Proportional to 992,652,015.40, 1,488,978,023.10 and 265,640,727.40

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Solution

The fourth proportional to 992,652,015.40, 1,488,978,023.10 and 265,640,727.40 is: 398,461,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,652,015.40 : 1,488,978,023.10 = 265,640,727.40 : x
  2. Step 2: Convert to fraction form
    992,652,015.40/1,488,978,023.10 = 265,640,727.40/x
  3. Step 3: Cross multiply
    992,652,015.40x = 1,488,978,023.10 × 265,640,727.40
  4. Step 4: Simplify right side
    992,652,015.40x = 395,533,205,138,897,984
  5. Step 5: Solve for x
    x = 395,533,205,138,897,984/992,652,015.40
  6. Step 6: Final answer
    x = 398,461,091.10

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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.