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Finding the Fourth Proportional to 646,787,913.60, 970,223,860.80 and 340,677,897.60

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Solution

The fourth proportional to 646,787,913.60, 970,223,860.80 and 340,677,897.60 is: 511,038,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,787,913.60 : 970,223,860.80 = 340,677,897.60 : x
  2. Step 2: Convert to fraction form
    646,787,913.60/970,223,860.80 = 340,677,897.60/x
  3. Step 3: Cross multiply
    646,787,913.60x = 970,223,860.80 × 340,677,897.60
  4. Step 4: Simplify right side
    646,787,913.60x = 330,533,825,098,699,072
  5. Step 5: Solve for x
    x = 330,533,825,098,699,072/646,787,913.60
  6. Step 6: Final answer
    x = 511,038,963.70

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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.