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Finding the Fourth Proportional to 646,502,102.40, 970,362,014.40 and 340,014,172.80

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Solution

The fourth proportional to 646,502,102.40, 970,362,014.40 and 340,014,172.80 is: 510,341,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,502,102.40 : 970,362,014.40 = 340,014,172.80 : x
  2. Step 2: Convert to fraction form
    646,502,102.40/970,362,014.40 = 340,014,172.80/x
  3. Step 3: Cross multiply
    646,502,102.40x = 970,362,014.40 × 340,014,172.80
  4. Step 4: Simplify right side
    646,502,102.40x = 329,936,837,642,757,696
  5. Step 5: Solve for x
    x = 329,936,837,642,757,696/646,502,102.40
  6. Step 6: Final answer
    x = 510,341,476.72

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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.