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Finding the Fourth Proportional to 656,045,688, 905,361,945.12 and 362,709,151.68

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Solution

The fourth proportional to 656,045,688, 905,361,945.12 and 362,709,151.68 is: 500,549,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,045,688 : 905,361,945.12 = 362,709,151.68 : x
  2. Step 2: Convert to fraction form
    656,045,688/905,361,945.12 = 362,709,151.68/x
  3. Step 3: Cross multiply
    656,045,688x = 905,361,945.12 × 362,709,151.68
  4. Step 4: Simplify right side
    656,045,688x = 328,383,063,077,829,952
  5. Step 5: Solve for x
    x = 328,383,063,077,829,952/656,045,688
  6. Step 6: Final answer
    x = 500,549,076.21

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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.