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Finding the Fourth Proportional to 771,846,762.34, 1,065,147,721.71 and 419,421,914.68

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Solution

The fourth proportional to 771,846,762.34, 1,065,147,721.71 and 419,421,914.68 is: 578,801,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,846,762.34 : 1,065,147,721.71 = 419,421,914.68 : x
  2. Step 2: Convert to fraction form
    771,846,762.34/1,065,147,721.71 = 419,421,914.68/x
  3. Step 3: Cross multiply
    771,846,762.34x = 1,065,147,721.71 × 419,421,914.68
  4. Step 4: Simplify right side
    771,846,762.34x = 446,746,296,856,648,000
  5. Step 5: Solve for x
    x = 446,746,296,856,648,000/771,846,762.34
  6. Step 6: Final answer
    x = 578,801,801.93

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1.5x scale

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.