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Finding the Fourth Proportional to 463,005.30, 697,978.27 and 432,142.98

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Solution

The fourth proportional to 463,005.30, 697,978.27 and 432,142.98 is: 651,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,005.30 : 697,978.27 = 432,142.98 : x
  2. Step 2: Convert to fraction form
    463,005.30/697,978.27 = 432,142.98/x
  3. Step 3: Cross multiply
    463,005.30x = 697,978.27 × 432,142.98
  4. Step 4: Simplify right side
    463,005.30x = 301,626,409,573.05
  5. Step 5: Solve for x
    x = 301,626,409,573.05/463,005.30
  6. Step 6: Final answer
    x = 651,453.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.