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Finding the Fourth Proportional to 438,475,803.88, 657,301,733.34 and 147,138,608.38

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Solution

The fourth proportional to 438,475,803.88, 657,301,733.34 and 147,138,608.38 is: 220,569,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,475,803.88 : 657,301,733.34 = 147,138,608.38 : x
  2. Step 2: Convert to fraction form
    438,475,803.88/657,301,733.34 = 147,138,608.38/x
  3. Step 3: Cross multiply
    438,475,803.88x = 657,301,733.34 × 147,138,608.38
  4. Step 4: Simplify right side
    438,475,803.88x = 96,714,462,329,409,456
  5. Step 5: Solve for x
    x = 96,714,462,329,409,456/438,475,803.88
  6. Step 6: Final answer
    x = 220,569,667.64

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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.