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Finding the Fourth Proportional to 219,030.60, 328,545.90 and 206,783.40

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Solution

The fourth proportional to 219,030.60, 328,545.90 and 206,783.40 is: 310,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,030.60 : 328,545.90 = 206,783.40 : x
  2. Step 2: Convert to fraction form
    219,030.60/328,545.90 = 206,783.40/x
  3. Step 3: Cross multiply
    219,030.60x = 328,545.90 × 206,783.40
  4. Step 4: Simplify right side
    219,030.60x = 67,937,838,258.06
  5. Step 5: Solve for x
    x = 67,937,838,258.06/219,030.60
  6. Step 6: Final answer
    x = 310,175.10

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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.