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Finding the Fourth Proportional to 654,978,641.72, 903,863,670.40 and 357,619,962.26

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Solution

The fourth proportional to 654,978,641.72, 903,863,670.40 and 357,619,962.26 is: 493,511,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,978,641.72 : 903,863,670.40 = 357,619,962.26 : x
  2. Step 2: Convert to fraction form
    654,978,641.72/903,863,670.40 = 357,619,962.26/x
  3. Step 3: Cross multiply
    654,978,641.72x = 903,863,670.40 × 357,619,962.26
  4. Step 4: Simplify right side
    654,978,641.72x = 323,239,691,697,319,168
  5. Step 5: Solve for x
    x = 323,239,691,697,319,168/654,978,641.72
  6. Step 6: Final answer
    x = 493,511,804.98

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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.