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Finding the Fourth Proportional to 405,299.48, 607,856.76 and 152,606.60

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Solution

The fourth proportional to 405,299.48, 607,856.76 and 152,606.60 is: 228,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,299.48 : 607,856.76 = 152,606.60 : x
  2. Step 2: Convert to fraction form
    405,299.48/607,856.76 = 152,606.60/x
  3. Step 3: Cross multiply
    405,299.48x = 607,856.76 × 152,606.60
  4. Step 4: Simplify right side
    405,299.48x = 92,762,953,430.62
  5. Step 5: Solve for x
    x = 92,762,953,430.62/405,299.48
  6. Step 6: Final answer
    x = 228,875.09

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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.