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Finding the Fourth Proportional to 459,968,658.40, 689,952,987.60 and 276,302,648.80

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Solution

The fourth proportional to 459,968,658.40, 689,952,987.60 and 276,302,648.80 is: 414,453,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,968,658.40 : 689,952,987.60 = 276,302,648.80 : x
  2. Step 2: Convert to fraction form
    459,968,658.40/689,952,987.60 = 276,302,648.80/x
  3. Step 3: Cross multiply
    459,968,658.40x = 689,952,987.60 × 276,302,648.80
  4. Step 4: Simplify right side
    459,968,658.40x = 190,635,838,021,353,568
  5. Step 5: Solve for x
    x = 190,635,838,021,353,568/459,968,658.40
  6. Step 6: Final answer
    x = 414,453,973.20

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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.