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Finding the Fourth Proportional to 902,430,642, 1,353,650,634.16 and 410,800,094.72

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Solution

The fourth proportional to 902,430,642, 1,353,650,634.16 and 410,800,094.72 is: 616,202,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,430,642 : 1,353,650,634.16 = 410,800,094.72 : x
  2. Step 2: Convert to fraction form
    902,430,642/1,353,650,634.16 = 410,800,094.72/x
  3. Step 3: Cross multiply
    902,430,642x = 1,353,650,634.16 × 410,800,094.72
  4. Step 4: Simplify right side
    902,430,642x = 556,079,808,730,716,160
  5. Step 5: Solve for x
    x = 556,079,808,730,716,160/902,430,642
  6. Step 6: Final answer
    x = 616,202,268.46

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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.