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Finding the Fourth Proportional to 543,617,643.70, 815,426,465.55 and 339,774,469.30

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Solution

The fourth proportional to 543,617,643.70, 815,426,465.55 and 339,774,469.30 is: 509,661,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,617,643.70 : 815,426,465.55 = 339,774,469.30 : x
  2. Step 2: Convert to fraction form
    543,617,643.70/815,426,465.55 = 339,774,469.30/x
  3. Step 3: Cross multiply
    543,617,643.70x = 815,426,465.55 × 339,774,469.30
  4. Step 4: Simplify right side
    543,617,643.70x = 277,061,094,585,425,984
  5. Step 5: Solve for x
    x = 277,061,094,585,425,984/543,617,643.70
  6. Step 6: Final answer
    x = 509,661,703.95

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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.