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Finding the Fourth Proportional to 705,341,320, 973,382,656.80 and 387,815,007.04

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Solution

The fourth proportional to 705,341,320, 973,382,656.80 and 387,815,007.04 is: 535,191,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,341,320 : 973,382,656.80 = 387,815,007.04 : x
  2. Step 2: Convert to fraction form
    705,341,320/973,382,656.80 = 387,815,007.04/x
  3. Step 3: Cross multiply
    705,341,320x = 973,382,656.80 × 387,815,007.04
  4. Step 4: Simplify right side
    705,341,320x = 377,492,401,899,505,920
  5. Step 5: Solve for x
    x = 377,492,401,899,505,920/705,341,320
  6. Step 6: Final answer
    x = 535,191,107.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.