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Finding the Fourth Proportional to 405,751,805.76, 559,648,836.54 and 372,369,085.47

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Solution

The fourth proportional to 405,751,805.76, 559,648,836.54 and 372,369,085.47 is: 513,604,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,751,805.76 : 559,648,836.54 = 372,369,085.47 : x
  2. Step 2: Convert to fraction form
    405,751,805.76/559,648,836.54 = 372,369,085.47/x
  3. Step 3: Cross multiply
    405,751,805.76x = 559,648,836.54 × 372,369,085.47
  4. Step 4: Simplify right side
    405,751,805.76x = 208,395,925,446,749,312
  5. Step 5: Solve for x
    x = 208,395,925,446,749,312/405,751,805.76
  6. Step 6: Final answer
    x = 513,604,431.30

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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.