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Finding the Fourth Proportional to 585,200, 807,576 and 316,928

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Solution

The fourth proportional to 585,200, 807,576 and 316,928 is: 437,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,200 : 807,576 = 316,928 : x
  2. Step 2: Convert to fraction form
    585,200/807,576 = 316,928/x
  3. Step 3: Cross multiply
    585,200x = 807,576 × 316,928
  4. Step 4: Simplify right side
    585,200x = 255,943,446,528
  5. Step 5: Solve for x
    x = 255,943,446,528/585,200
  6. Step 6: Final answer
    x = 437,360.64

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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.