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Finding the Fourth Proportional to 405,999,655.71, 560,279,939.54 and 220,360,709.67

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Solution

The fourth proportional to 405,999,655.71, 560,279,939.54 and 220,360,709.67 is: 304,098,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,999,655.71 : 560,279,939.54 = 220,360,709.67 : x
  2. Step 2: Convert to fraction form
    405,999,655.71/560,279,939.54 = 220,360,709.67/x
  3. Step 3: Cross multiply
    405,999,655.71x = 560,279,939.54 × 220,360,709.67
  4. Step 4: Simplify right side
    405,999,655.71x = 123,463,685,089,797,280
  5. Step 5: Solve for x
    x = 123,463,685,089,797,280/405,999,655.71
  6. Step 6: Final answer
    x = 304,098,004.40

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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.