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Finding the Fourth Proportional to 651,480.66, 899,093.12 and 409,970.25

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Solution

The fourth proportional to 651,480.66, 899,093.12 and 409,970.25 is: 565,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,480.66 : 899,093.12 = 409,970.25 : x
  2. Step 2: Convert to fraction form
    651,480.66/899,093.12 = 409,970.25/x
  3. Step 3: Cross multiply
    651,480.66x = 899,093.12 × 409,970.25
  4. Step 4: Simplify right side
    651,480.66x = 368,601,429,129.83
  5. Step 5: Solve for x
    x = 368,601,429,129.83/651,480.66
  6. Step 6: Final answer
    x = 565,790.29

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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.