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Finding the Fourth Proportional to 242,651,920.40, 363,977,880.60 and 78,889,360.40

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Solution

The fourth proportional to 242,651,920.40, 363,977,880.60 and 78,889,360.40 is: 118,334,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,651,920.40 : 363,977,880.60 = 78,889,360.40 : x
  2. Step 2: Convert to fraction form
    242,651,920.40/363,977,880.60 = 78,889,360.40/x
  3. Step 3: Cross multiply
    242,651,920.40x = 363,977,880.60 × 78,889,360.40
  4. Step 4: Simplify right side
    242,651,920.40x = 28,713,982,200,281,572
  5. Step 5: Solve for x
    x = 28,713,982,200,281,572/242,651,920.40
  6. Step 6: Final answer
    x = 118,334,040.60

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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.