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Finding the Fourth Proportional to 409,117.80, 613,385.10 and 156,300.60

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Solution

The fourth proportional to 409,117.80, 613,385.10 and 156,300.60 is: 234,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,117.80 : 613,385.10 = 156,300.60 : x
  2. Step 2: Convert to fraction form
    409,117.80/613,385.10 = 156,300.60/x
  3. Step 3: Cross multiply
    409,117.80x = 613,385.10 × 156,300.60
  4. Step 4: Simplify right side
    409,117.80x = 95,872,459,161.06
  5. Step 5: Solve for x
    x = 95,872,459,161.06/409,117.80
  6. Step 6: Final answer
    x = 234,339.50

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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.