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Finding the Fourth Proportional to 298,935,058.40, 448,473,446.40 and 153,391,083.20

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Solution

The fourth proportional to 298,935,058.40, 448,473,446.40 and 153,391,083.20 is: 230,122,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,935,058.40 : 448,473,446.40 = 153,391,083.20 : x
  2. Step 2: Convert to fraction form
    298,935,058.40/448,473,446.40 = 153,391,083.20/x
  3. Step 3: Cross multiply
    298,935,058.40x = 448,473,446.40 × 153,391,083.20
  4. Step 4: Simplify right side
    298,935,058.40x = 68,791,827,729,733,128
  5. Step 5: Solve for x
    x = 68,791,827,729,733,128/298,935,058.40
  6. Step 6: Final answer
    x = 230,122,984.23

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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.