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Finding the Fourth Proportional to 646,994,442.40, 970,491,663.60 and 402,106,429.60

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Solution

The fourth proportional to 646,994,442.40, 970,491,663.60 and 402,106,429.60 is: 603,159,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,994,442.40 : 970,491,663.60 = 402,106,429.60 : x
  2. Step 2: Convert to fraction form
    646,994,442.40/970,491,663.60 = 402,106,429.60/x
  3. Step 3: Cross multiply
    646,994,442.40x = 970,491,663.60 × 402,106,429.60
  4. Step 4: Simplify right side
    646,994,442.40x = 390,240,937,806,760,320
  5. Step 5: Solve for x
    x = 390,240,937,806,760,320/646,994,442.40
  6. Step 6: Final answer
    x = 603,159,644.40

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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.