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Finding the Fourth Proportional to 472,393,609.80, 708,590,414.70 and 165,716,723.40

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Solution

The fourth proportional to 472,393,609.80, 708,590,414.70 and 165,716,723.40 is: 248,575,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,609.80 : 708,590,414.70 = 165,716,723.40 : x
  2. Step 2: Convert to fraction form
    472,393,609.80/708,590,414.70 = 165,716,723.40/x
  3. Step 3: Cross multiply
    472,393,609.80x = 708,590,414.70 × 165,716,723.40
  4. Step 4: Simplify right side
    472,393,609.80x = 117,425,281,756,731,200
  5. Step 5: Solve for x
    x = 117,425,281,756,731,200/472,393,609.80
  6. Step 6: Final answer
    x = 248,575,085.10

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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.