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Finding the Fourth Proportional to 717,856.98, 990,642.72 and 416,225.94

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Solution

The fourth proportional to 717,856.98, 990,642.72 and 416,225.94 is: 574,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,856.98 : 990,642.72 = 416,225.94 : x
  2. Step 2: Convert to fraction form
    717,856.98/990,642.72 = 416,225.94/x
  3. Step 3: Cross multiply
    717,856.98x = 990,642.72 × 416,225.94
  4. Step 4: Simplify right side
    717,856.98x = 412,331,197,336.16
  5. Step 5: Solve for x
    x = 412,331,197,336.16/717,856.98
  6. Step 6: Final answer
    x = 574,391.85

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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.