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Finding the Fourth Proportional to 992,652,014.40, 1,488,978,021.60 and 265,640,726.40

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Solution

The fourth proportional to 992,652,014.40, 1,488,978,021.60 and 265,640,726.40 is: 398,461,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,652,014.40 : 1,488,978,021.60 = 265,640,726.40 : x
  2. Step 2: Convert to fraction form
    992,652,014.40/1,488,978,021.60 = 265,640,726.40/x
  3. Step 3: Cross multiply
    992,652,014.40x = 1,488,978,021.60 × 265,640,726.40
  4. Step 4: Simplify right side
    992,652,014.40x = 395,533,203,251,458,880
  5. Step 5: Solve for x
    x = 395,533,203,251,458,880/992,652,014.40
  6. Step 6: Final answer
    x = 398,461,089.60

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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.