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Finding the Fourth Proportional to 568,386.42, 784,317.43 and 313,721.20

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Solution

The fourth proportional to 568,386.42, 784,317.43 and 313,721.20 is: 432,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,386.42 : 784,317.43 = 313,721.20 : x
  2. Step 2: Convert to fraction form
    568,386.42/784,317.43 = 313,721.20/x
  3. Step 3: Cross multiply
    568,386.42x = 784,317.43 × 313,721.20
  4. Step 4: Simplify right side
    568,386.42x = 246,057,006,693.06
  5. Step 5: Solve for x
    x = 246,057,006,693.06/568,386.42
  6. Step 6: Final answer
    x = 432,904.45

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Double scale
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1.5x scale

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.