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Finding the Fourth Proportional to 382,488.68, 527,844.48 and 210,411.20

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Solution

The fourth proportional to 382,488.68, 527,844.48 and 210,411.20 is: 290,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,488.68 : 527,844.48 = 210,411.20 : x
  2. Step 2: Convert to fraction form
    382,488.68/527,844.48 = 210,411.20/x
  3. Step 3: Cross multiply
    382,488.68x = 527,844.48 × 210,411.20
  4. Step 4: Simplify right side
    382,488.68x = 111,064,390,450.18
  5. Step 5: Solve for x
    x = 111,064,390,450.18/382,488.68
  6. Step 6: Final answer
    x = 290,373.01

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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.