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Finding the Fourth Proportional to 705,462,771.70, 973,600,657.98 and 387,978,964

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Solution

The fourth proportional to 705,462,771.70, 973,600,657.98 and 387,978,964 is: 535,445,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,462,771.70 : 973,600,657.98 = 387,978,964 : x
  2. Step 2: Convert to fraction form
    705,462,771.70/973,600,657.98 = 387,978,964/x
  3. Step 3: Cross multiply
    705,462,771.70x = 973,600,657.98 × 387,978,964
  4. Step 4: Simplify right side
    705,462,771.70x = 377,736,574,632,798,720
  5. Step 5: Solve for x
    x = 377,736,574,632,798,720/705,462,771.70
  6. Step 6: Final answer
    x = 535,445,086.24

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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.