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Finding the Fourth Proportional to 522,258.02, 720,708.81 and 289,677.86

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Solution

The fourth proportional to 522,258.02, 720,708.81 and 289,677.86 is: 399,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,258.02 : 720,708.81 = 289,677.86 : x
  2. Step 2: Convert to fraction form
    522,258.02/720,708.81 = 289,677.86/x
  3. Step 3: Cross multiply
    522,258.02x = 720,708.81 × 289,677.86
  4. Step 4: Simplify right side
    522,258.02x = 208,773,385,763.95
  5. Step 5: Solve for x
    x = 208,773,385,763.95/522,258.02
  6. Step 6: Final answer
    x = 399,751.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.