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Finding the Fourth Proportional to 513,136.08, 708,106.91 and 283,678.77

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Solution

The fourth proportional to 513,136.08, 708,106.91 and 283,678.77 is: 391,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,136.08 : 708,106.91 = 283,678.77 : x
  2. Step 2: Convert to fraction form
    513,136.08/708,106.91 = 283,678.77/x
  3. Step 3: Cross multiply
    513,136.08x = 708,106.91 × 283,678.77
  4. Step 4: Simplify right side
    513,136.08x = 200,874,895,838.91
  5. Step 5: Solve for x
    x = 200,874,895,838.91/513,136.08
  6. Step 6: Final answer
    x = 391,465.16

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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.