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Finding the Fourth Proportional to 442,212.84, 610,064.60 and 288,985.10

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Solution

The fourth proportional to 442,212.84, 610,064.60 and 288,985.10 is: 398,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,212.84 : 610,064.60 = 288,985.10 : x
  2. Step 2: Convert to fraction form
    442,212.84/610,064.60 = 288,985.10/x
  3. Step 3: Cross multiply
    442,212.84x = 610,064.60 × 288,985.10
  4. Step 4: Simplify right side
    442,212.84x = 176,299,574,942.21
  5. Step 5: Solve for x
    x = 176,299,574,942.21/442,212.84
  6. Step 6: Final answer
    x = 398,675.84

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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.