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Finding the Fourth Proportional to 419,710.68, 579,368.70 and 249,912

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Solution

The fourth proportional to 419,710.68, 579,368.70 and 249,912 is: 344,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,710.68 : 579,368.70 = 249,912 : x
  2. Step 2: Convert to fraction form
    419,710.68/579,368.70 = 249,912/x
  3. Step 3: Cross multiply
    419,710.68x = 579,368.70 × 249,912
  4. Step 4: Simplify right side
    419,710.68x = 144,791,190,554.40
  5. Step 5: Solve for x
    x = 144,791,190,554.40/419,710.68
  6. Step 6: Final answer
    x = 344,978.57

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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.