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Finding the Fourth Proportional to 656,045,685, 905,361,940.98 and 362,709,148.68

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Solution

The fourth proportional to 656,045,685, 905,361,940.98 and 362,709,148.68 is: 500,549,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,045,685 : 905,361,940.98 = 362,709,148.68 : x
  2. Step 2: Convert to fraction form
    656,045,685/905,361,940.98 = 362,709,148.68/x
  3. Step 3: Cross multiply
    656,045,685x = 905,361,940.98 × 362,709,148.68
  4. Step 4: Simplify right side
    656,045,685x = 328,383,058,860,128,192
  5. Step 5: Solve for x
    x = 328,383,058,860,128,192/656,045,685
  6. Step 6: Final answer
    x = 500,549,072.07

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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.