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Finding the Fourth Proportional to 767,248,809.15, 1,058,801,365.15 and 428,153,729.24

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Solution

The fourth proportional to 767,248,809.15, 1,058,801,365.15 and 428,153,729.24 is: 590,851,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,248,809.15 : 1,058,801,365.15 = 428,153,729.24 : x
  2. Step 2: Convert to fraction form
    767,248,809.15/1,058,801,365.15 = 428,153,729.24/x
  3. Step 3: Cross multiply
    767,248,809.15x = 1,058,801,365.15 × 428,153,729.24
  4. Step 4: Simplify right side
    767,248,809.15x = 453,329,753,013,375,488
  5. Step 5: Solve for x
    x = 453,329,753,013,375,488/767,248,809.15
  6. Step 6: Final answer
    x = 590,851,035.03

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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.