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Finding the Fourth Proportional to 405,130.40, 607,695.60 and 398,909.60

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Solution

The fourth proportional to 405,130.40, 607,695.60 and 398,909.60 is: 598,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,130.40 : 607,695.60 = 398,909.60 : x
  2. Step 2: Convert to fraction form
    405,130.40/607,695.60 = 398,909.60/x
  3. Step 3: Cross multiply
    405,130.40x = 607,695.60 × 398,909.60
  4. Step 4: Simplify right side
    405,130.40x = 242,415,608,717.76
  5. Step 5: Solve for x
    x = 242,415,608,717.76/405,130.40
  6. Step 6: Final answer
    x = 598,364.40

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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.