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Finding the Fourth Proportional to 405,999,665.32, 560,279,952.80 and 220,360,719.28

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Solution

The fourth proportional to 405,999,665.32, 560,279,952.80 and 220,360,719.28 is: 304,098,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,999,665.32 : 560,279,952.80 = 220,360,719.28 : x
  2. Step 2: Convert to fraction form
    405,999,665.32/560,279,952.80 = 220,360,719.28/x
  3. Step 3: Cross multiply
    405,999,665.32x = 560,279,952.80 × 220,360,719.28
  4. Step 4: Simplify right side
    405,999,665.32x = 123,463,693,399,124,048
  5. Step 5: Solve for x
    x = 123,463,693,399,124,048/405,999,665.32
  6. Step 6: Final answer
    x = 304,098,017.67

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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.