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Finding the Fourth Proportional to 405,979.45, 569,304.35 and 405,979.45

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Solution

The fourth proportional to 405,979.45, 569,304.35 and 405,979.45 is: 569,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,979.45 : 569,304.35 = 405,979.45 : x
  2. Step 2: Convert to fraction form
    405,979.45/569,304.35 = 405,979.45/x
  3. Step 3: Cross multiply
    405,979.45x = 569,304.35 × 405,979.45
  4. Step 4: Simplify right side
    405,979.45x = 231,125,866,895.61
  5. Step 5: Solve for x
    x = 231,125,866,895.61/405,979.45
  6. Step 6: Final answer
    x = 569,304.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.