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Finding the Fourth Proportional to 419,275.26, 578,509.83 and 249,476.22

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Solution

The fourth proportional to 419,275.26, 578,509.83 and 249,476.22 is: 344,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,275.26 : 578,509.83 = 249,476.22 : x
  2. Step 2: Convert to fraction form
    419,275.26/578,509.83 = 249,476.22/x
  3. Step 3: Cross multiply
    419,275.26x = 578,509.83 × 249,476.22
  4. Step 4: Simplify right side
    419,275.26x = 144,324,445,621.24
  5. Step 5: Solve for x
    x = 144,324,445,621.24/419,275.26
  6. Step 6: Final answer
    x = 344,223.61

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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.