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Finding the Fourth Proportional to 306,053,138.40, 429,381,386.40 and 306,053,138.40

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Solution

The fourth proportional to 306,053,138.40, 429,381,386.40 and 306,053,138.40 is: 429,381,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,053,138.40 : 429,381,386.40 = 306,053,138.40 : x
  2. Step 2: Convert to fraction form
    306,053,138.40/429,381,386.40 = 306,053,138.40/x
  3. Step 3: Cross multiply
    306,053,138.40x = 429,381,386.40 × 306,053,138.40
  4. Step 4: Simplify right side
    306,053,138.40x = 131,413,520,878,263,056
  5. Step 5: Solve for x
    x = 131,413,520,878,263,056/306,053,138.40
  6. Step 6: Final answer
    x = 429,381,386.40

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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.