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Finding the Fourth Proportional to 525,384.63, 724,897.01 and 321,361.02

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Solution

The fourth proportional to 525,384.63, 724,897.01 and 321,361.02 is: 443,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,384.63 : 724,897.01 = 321,361.02 : x
  2. Step 2: Convert to fraction form
    525,384.63/724,897.01 = 321,361.02/x
  3. Step 3: Cross multiply
    525,384.63x = 724,897.01 × 321,361.02
  4. Step 4: Simplify right side
    525,384.63x = 232,953,643,331.95
  5. Step 5: Solve for x
    x = 232,953,643,331.95/525,384.63
  6. Step 6: Final answer
    x = 443,396.38

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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.