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Finding the Fourth Proportional to 640,991,838.24, 961,486,262.34 and 421,051,492.80

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Solution

The fourth proportional to 640,991,838.24, 961,486,262.34 and 421,051,492.80 is: 631,576,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,991,838.24 : 961,486,262.34 = 421,051,492.80 : x
  2. Step 2: Convert to fraction form
    640,991,838.24/961,486,262.34 = 421,051,492.80/x
  3. Step 3: Cross multiply
    640,991,838.24x = 961,486,262.34 × 421,051,492.80
  4. Step 4: Simplify right side
    640,991,838.24x = 404,835,226,064,949,440
  5. Step 5: Solve for x
    x = 404,835,226,064,949,440/640,991,838.24
  6. Step 6: Final answer
    x = 631,576,257.16

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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.