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Finding the Fourth Proportional to 646,316,336.92, 970,909,396.26 and 400,854,368.20

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Solution

The fourth proportional to 646,316,336.92, 970,909,396.26 and 400,854,368.20 is: 602,171,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,316,336.92 : 970,909,396.26 = 400,854,368.20 : x
  2. Step 2: Convert to fraction form
    646,316,336.92/970,909,396.26 = 400,854,368.20/x
  3. Step 3: Cross multiply
    646,316,336.92x = 970,909,396.26 × 400,854,368.20
  4. Step 4: Simplify right side
    646,316,336.92x = 389,193,272,617,245,696
  5. Step 5: Solve for x
    x = 389,193,272,617,245,696/646,316,336.92
  6. Step 6: Final answer
    x = 602,171,491.55

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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.