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Finding the Fourth Proportional to 370,080, 510,710.40 and 200,315.52

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Solution

The fourth proportional to 370,080, 510,710.40 and 200,315.52 is: 276,435.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,080 : 510,710.40 = 200,315.52 : x
  2. Step 2: Convert to fraction form
    370,080/510,710.40 = 200,315.52/x
  3. Step 3: Cross multiply
    370,080x = 510,710.40 × 200,315.52
  4. Step 4: Simplify right side
    370,080x = 102,303,219,345.41
  5. Step 5: Solve for x
    x = 102,303,219,345.41/370,080
  6. Step 6: Final answer
    x = 276,435.42

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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.