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Finding the Fourth Proportional to 530,271.65, 731,790.26 and 288,569.80

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Solution

The fourth proportional to 530,271.65, 731,790.26 and 288,569.80 is: 398,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,271.65 : 731,790.26 = 288,569.80 : x
  2. Step 2: Convert to fraction form
    530,271.65/731,790.26 = 288,569.80/x
  3. Step 3: Cross multiply
    530,271.65x = 731,790.26 × 288,569.80
  4. Step 4: Simplify right side
    530,271.65x = 211,172,568,970.15
  5. Step 5: Solve for x
    x = 211,172,568,970.15/530,271.65
  6. Step 6: Final answer
    x = 398,234.70

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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.