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Finding the Fourth Proportional to 640,991,953.32, 961,486,434.78 and 421,051,607.72

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Solution

The fourth proportional to 640,991,953.32, 961,486,434.78 and 421,051,607.72 is: 631,576,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,991,953.32 : 961,486,434.78 = 421,051,607.72 : x
  2. Step 2: Convert to fraction form
    640,991,953.32/961,486,434.78 = 421,051,607.72/x
  3. Step 3: Cross multiply
    640,991,953.32x = 961,486,434.78 × 421,051,607.72
  4. Step 4: Simplify right side
    640,991,953.32x = 404,835,409,165,089,920
  5. Step 5: Solve for x
    x = 404,835,409,165,089,920/640,991,953.32
  6. Step 6: Final answer
    x = 631,576,429.42

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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.