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Finding the Fourth Proportional to 494,908.10, 742,386.45 and 258,712.10

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Solution

The fourth proportional to 494,908.10, 742,386.45 and 258,712.10 is: 388,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,908.10 : 742,386.45 = 258,712.10 : x
  2. Step 2: Convert to fraction form
    494,908.10/742,386.45 = 258,712.10/x
  3. Step 3: Cross multiply
    494,908.10x = 742,386.45 × 258,712.10
  4. Step 4: Simplify right side
    494,908.10x = 192,064,357,491.05
  5. Step 5: Solve for x
    x = 192,064,357,491.05/494,908.10
  6. Step 6: Final answer
    x = 388,080.85

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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.