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Finding the Fourth Proportional to 405,978.70, 569,303.30 and 405,978.70

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Solution

The fourth proportional to 405,978.70, 569,303.30 and 405,978.70 is: 569,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,978.70 : 569,303.30 = 405,978.70 : x
  2. Step 2: Convert to fraction form
    405,978.70/569,303.30 = 405,978.70/x
  3. Step 3: Cross multiply
    405,978.70x = 569,303.30 × 405,978.70
  4. Step 4: Simplify right side
    405,978.70x = 231,125,013,639.71
  5. Step 5: Solve for x
    x = 231,125,013,639.71/405,978.70
  6. Step 6: Final answer
    x = 569,303.30

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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.