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Finding the Fourth Proportional to 512,451.85, 707,184.75 and 283,004.95

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Solution

The fourth proportional to 512,451.85, 707,184.75 and 283,004.95 is: 390,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,451.85 : 707,184.75 = 283,004.95 : x
  2. Step 2: Convert to fraction form
    512,451.85/707,184.75 = 283,004.95/x
  3. Step 3: Cross multiply
    512,451.85x = 707,184.75 × 283,004.95
  4. Step 4: Simplify right side
    512,451.85x = 200,136,784,814.51
  5. Step 5: Solve for x
    x = 200,136,784,814.51/512,451.85
  6. Step 6: Final answer
    x = 390,547.49

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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.