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Finding the Fourth Proportional to 601,428, 829,970.64 and 333,156

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Solution

The fourth proportional to 601,428, 829,970.64 and 333,156 is: 459,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,428 : 829,970.64 = 333,156 : x
  2. Step 2: Convert to fraction form
    601,428/829,970.64 = 333,156/x
  3. Step 3: Cross multiply
    601,428x = 829,970.64 × 333,156
  4. Step 4: Simplify right side
    601,428x = 276,509,698,539.84
  5. Step 5: Solve for x
    x = 276,509,698,539.84/601,428
  6. Step 6: Final answer
    x = 459,755.28

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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.