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Finding the Fourth Proportional to 398,563,409.60, 597,845,114.40 and 217,164,881.60

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Solution

The fourth proportional to 398,563,409.60, 597,845,114.40 and 217,164,881.60 is: 325,747,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,563,409.60 : 597,845,114.40 = 217,164,881.60 : x
  2. Step 2: Convert to fraction form
    398,563,409.60/597,845,114.40 = 217,164,881.60/x
  3. Step 3: Cross multiply
    398,563,409.60x = 597,845,114.40 × 217,164,881.60
  4. Step 4: Simplify right side
    398,563,409.60x = 129,830,963,483,814,448
  5. Step 5: Solve for x
    x = 129,830,963,483,814,448/398,563,409.60
  6. Step 6: Final answer
    x = 325,747,322.40

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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.