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Finding the Fourth Proportional to 472,331.76, 651,804.76 and 257,476

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Solution

The fourth proportional to 472,331.76, 651,804.76 and 257,476 is: 355,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,331.76 : 651,804.76 = 257,476 : x
  2. Step 2: Convert to fraction form
    472,331.76/651,804.76 = 257,476/x
  3. Step 3: Cross multiply
    472,331.76x = 651,804.76 × 257,476
  4. Step 4: Simplify right side
    472,331.76x = 167,824,082,385.76
  5. Step 5: Solve for x
    x = 167,824,082,385.76/472,331.76
  6. Step 6: Final answer
    x = 355,309.76

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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.