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Finding the Fourth Proportional to 312,038,676.70, 468,058,015.05 and 158,983,668.70

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Solution

The fourth proportional to 312,038,676.70, 468,058,015.05 and 158,983,668.70 is: 238,475,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,038,676.70 : 468,058,015.05 = 158,983,668.70 : x
  2. Step 2: Convert to fraction form
    312,038,676.70/468,058,015.05 = 158,983,668.70/x
  3. Step 3: Cross multiply
    312,038,676.70x = 468,058,015.05 × 158,983,668.70
  4. Step 4: Simplify right side
    312,038,676.70x = 74,413,580,397,088,816
  5. Step 5: Solve for x
    x = 74,413,580,397,088,816/312,038,676.70
  6. Step 6: Final answer
    x = 238,475,503.05

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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.