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Finding the Fourth Proportional to 419,329.76, 578,584.80 and 249,530.72

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Solution

The fourth proportional to 419,329.76, 578,584.80 and 249,530.72 is: 344,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,329.76 : 578,584.80 = 249,530.72 : x
  2. Step 2: Convert to fraction form
    419,329.76/578,584.80 = 249,530.72/x
  3. Step 3: Cross multiply
    419,329.76x = 578,584.80 × 249,530.72
  4. Step 4: Simplify right side
    419,329.76x = 144,374,681,725.06
  5. Step 5: Solve for x
    x = 144,374,681,725.06/419,329.76
  6. Step 6: Final answer
    x = 344,298.68

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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.