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Finding the Fourth Proportional to 358,605.40, 537,908.10 and 209,014.60

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Solution

The fourth proportional to 358,605.40, 537,908.10 and 209,014.60 is: 313,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,605.40 : 537,908.10 = 209,014.60 : x
  2. Step 2: Convert to fraction form
    358,605.40/537,908.10 = 209,014.60/x
  3. Step 3: Cross multiply
    358,605.40x = 537,908.10 × 209,014.60
  4. Step 4: Simplify right side
    358,605.40x = 112,430,646,358.26
  5. Step 5: Solve for x
    x = 112,430,646,358.26/358,605.40
  6. Step 6: Final answer
    x = 313,521.90

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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.