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Finding the Fourth Proportional to 405,139.60, 607,709.40 and 402,515.20

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Solution

The fourth proportional to 405,139.60, 607,709.40 and 402,515.20 is: 603,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,139.60 : 607,709.40 = 402,515.20 : x
  2. Step 2: Convert to fraction form
    405,139.60/607,709.40 = 402,515.20/x
  3. Step 3: Cross multiply
    405,139.60x = 607,709.40 × 402,515.20
  4. Step 4: Simplify right side
    405,139.60x = 244,612,270,682.88
  5. Step 5: Solve for x
    x = 244,612,270,682.88/405,139.60
  6. Step 6: Final answer
    x = 603,772.80

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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.