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Finding the Fourth Proportional to 283,846,898.04, 391,707,987.88 and 158,397,756.80

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Solution

The fourth proportional to 283,846,898.04, 391,707,987.88 and 158,397,756.80 is: 218,588,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,846,898.04 : 391,707,987.88 = 158,397,756.80 : x
  2. Step 2: Convert to fraction form
    283,846,898.04/391,707,987.88 = 158,397,756.80/x
  3. Step 3: Cross multiply
    283,846,898.04x = 391,707,987.88 × 158,397,756.80
  4. Step 4: Simplify right side
    283,846,898.04x = 62,045,666,600,833,592
  5. Step 5: Solve for x
    x = 62,045,666,600,833,592/283,846,898.04
  6. Step 6: Final answer
    x = 218,588,496.23

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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.