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Finding the Fourth Proportional to 553,128.08, 830,348.22 and 465,473.12

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Solution

The fourth proportional to 553,128.08, 830,348.22 and 465,473.12 is: 698,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,128.08 : 830,348.22 = 465,473.12 : x
  2. Step 2: Convert to fraction form
    553,128.08/830,348.22 = 465,473.12/x
  3. Step 3: Cross multiply
    553,128.08x = 830,348.22 × 465,473.12
  4. Step 4: Simplify right side
    553,128.08x = 386,504,776,649.85
  5. Step 5: Solve for x
    x = 386,504,776,649.85/553,128.08
  6. Step 6: Final answer
    x = 698,761.81

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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.