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Finding the Fourth Proportional to 472,447.40, 651,980.36 and 257,591.04

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Solution

The fourth proportional to 472,447.40, 651,980.36 and 257,591.04 is: 355,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,447.40 : 651,980.36 = 257,591.04 : x
  2. Step 2: Convert to fraction form
    472,447.40/651,980.36 = 257,591.04/x
  3. Step 3: Cross multiply
    472,447.40x = 651,980.36 × 257,591.04
  4. Step 4: Simplify right side
    472,447.40x = 167,944,298,991.97
  5. Step 5: Solve for x
    x = 167,944,298,991.97/472,447.40
  6. Step 6: Final answer
    x = 355,477.24

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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.