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Finding the Fourth Proportional to 386,807.40, 580,211.10 and 302,826.60

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Solution

The fourth proportional to 386,807.40, 580,211.10 and 302,826.60 is: 454,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,807.40 : 580,211.10 = 302,826.60 : x
  2. Step 2: Convert to fraction form
    386,807.40/580,211.10 = 302,826.60/x
  3. Step 3: Cross multiply
    386,807.40x = 580,211.10 × 302,826.60
  4. Step 4: Simplify right side
    386,807.40x = 175,703,354,695.26
  5. Step 5: Solve for x
    x = 175,703,354,695.26/386,807.40
  6. Step 6: Final answer
    x = 454,239.90

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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.