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Finding the Fourth Proportional to 485,675.84, 670,298.40 and 284,552

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Solution

The fourth proportional to 485,675.84, 670,298.40 and 284,552 is: 392,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,675.84 : 670,298.40 = 284,552 : x
  2. Step 2: Convert to fraction form
    485,675.84/670,298.40 = 284,552/x
  3. Step 3: Cross multiply
    485,675.84x = 670,298.40 × 284,552
  4. Step 4: Simplify right side
    485,675.84x = 190,734,750,316.80
  5. Step 5: Solve for x
    x = 190,734,750,316.80/485,675.84
  6. Step 6: Final answer
    x = 392,720.28

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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.