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Finding the Fourth Proportional to 405,371.20, 608,001.60 and 105,875.20

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Solution

The fourth proportional to 405,371.20, 608,001.60 and 105,875.20 is: 158,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,371.20 : 608,001.60 = 105,875.20 : x
  2. Step 2: Convert to fraction form
    405,371.20/608,001.60 = 105,875.20/x
  3. Step 3: Cross multiply
    405,371.20x = 608,001.60 × 105,875.20
  4. Step 4: Simplify right side
    405,371.20x = 64,372,291,000.32
  5. Step 5: Solve for x
    x = 64,372,291,000.32/405,371.20
  6. Step 6: Final answer
    x = 158,798.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.