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Finding the Fourth Proportional to 717,878.16, 990,718.36 and 411,967.43

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Solution

The fourth proportional to 717,878.16, 990,718.36 and 411,967.43 is: 568,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,878.16 : 990,718.36 = 411,967.43 : x
  2. Step 2: Convert to fraction form
    717,878.16/990,718.36 = 411,967.43/x
  3. Step 3: Cross multiply
    717,878.16x = 990,718.36 × 411,967.43
  4. Step 4: Simplify right side
    717,878.16x = 408,143,699,099.81
  5. Step 5: Solve for x
    x = 408,143,699,099.81/717,878.16
  6. Step 6: Final answer
    x = 568,541.74

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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.