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Finding the Fourth Proportional to 305,772,109.20, 429,290,276.40 and 305,772,109.20

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Solution

The fourth proportional to 305,772,109.20, 429,290,276.40 and 305,772,109.20 is: 429,290,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,772,109.20 : 429,290,276.40 = 305,772,109.20 : x
  2. Step 2: Convert to fraction form
    305,772,109.20/429,290,276.40 = 305,772,109.20/x
  3. Step 3: Cross multiply
    305,772,109.20x = 429,290,276.40 × 305,772,109.20
  4. Step 4: Simplify right side
    305,772,109.20x = 131,264,993,273,878,976
  5. Step 5: Solve for x
    x = 131,264,993,273,878,976/305,772,109.20
  6. Step 6: Final answer
    x = 429,290,276.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.