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Finding the Fourth Proportional to 648,494,898.24, 972,744,621 and 157,206,168.48

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Solution

The fourth proportional to 648,494,898.24, 972,744,621 and 157,206,168.48 is: 235,809,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,494,898.24 : 972,744,621 = 157,206,168.48 : x
  2. Step 2: Convert to fraction form
    648,494,898.24/972,744,621 = 157,206,168.48/x
  3. Step 3: Cross multiply
    648,494,898.24x = 972,744,621 × 157,206,168.48
  4. Step 4: Simplify right side
    648,494,898.24x = 152,921,454,776,939,744
  5. Step 5: Solve for x
    x = 152,921,454,776,939,744/648,494,898.24
  6. Step 6: Final answer
    x = 235,809,803.89

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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.