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Finding the Fourth Proportional to 405,751,798.76, 559,648,826.90 and 372,369,078.46

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Solution

The fourth proportional to 405,751,798.76, 559,648,826.90 and 372,369,078.46 is: 513,604,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,751,798.76 : 559,648,826.90 = 372,369,078.46 : x
  2. Step 2: Convert to fraction form
    405,751,798.76/559,648,826.90 = 372,369,078.46/x
  3. Step 3: Cross multiply
    405,751,798.76x = 559,648,826.90 × 372,369,078.46
  4. Step 4: Simplify right side
    405,751,798.76x = 208,395,917,933,973,024
  5. Step 5: Solve for x
    x = 208,395,917,933,973,024/405,751,798.76
  6. Step 6: Final answer
    x = 513,604,421.65

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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.