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Finding the Fourth Proportional to 394,486,871.60, 591,730,307.40 and 164,620,924.40

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Solution

The fourth proportional to 394,486,871.60, 591,730,307.40 and 164,620,924.40 is: 246,931,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,486,871.60 : 591,730,307.40 = 164,620,924.40 : x
  2. Step 2: Convert to fraction form
    394,486,871.60/591,730,307.40 = 164,620,924.40/x
  3. Step 3: Cross multiply
    394,486,871.60x = 591,730,307.40 × 164,620,924.40
  4. Step 4: Simplify right side
    394,486,871.60x = 97,411,190,199,684,160
  5. Step 5: Solve for x
    x = 97,411,190,199,684,160/394,486,871.60
  6. Step 6: Final answer
    x = 246,931,386.60

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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.