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Finding the Fourth Proportional to 326,751,658.50, 490,223,214.90 and 105,418,510.50

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Solution

The fourth proportional to 326,751,658.50, 490,223,214.90 and 105,418,510.50 is: 158,158,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,751,658.50 : 490,223,214.90 = 105,418,510.50 : x
  2. Step 2: Convert to fraction form
    326,751,658.50/490,223,214.90 = 105,418,510.50/x
  3. Step 3: Cross multiply
    326,751,658.50x = 490,223,214.90 × 105,418,510.50
  4. Step 4: Simplify right side
    326,751,658.50x = 51,678,601,127,279,400
  5. Step 5: Solve for x
    x = 51,678,601,127,279,400/326,751,658.50
  6. Step 6: Final answer
    x = 158,158,649.80

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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.