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Finding the Fourth Proportional to 488,241.84, 730,340.64 and 458,382

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Solution

The fourth proportional to 488,241.84, 730,340.64 and 458,382 is: 685,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,241.84 : 730,340.64 = 458,382 : x
  2. Step 2: Convert to fraction form
    488,241.84/730,340.64 = 458,382/x
  3. Step 3: Cross multiply
    488,241.84x = 730,340.64 × 458,382
  4. Step 4: Simplify right side
    488,241.84x = 334,775,003,244.48
  5. Step 5: Solve for x
    x = 334,775,003,244.48/488,241.84
  6. Step 6: Final answer
    x = 685,674.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.