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Finding the Fourth Proportional to 870,259.50, 1,200,978.80 and 488,314.53

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Solution

The fourth proportional to 870,259.50, 1,200,978.80 and 488,314.53 is: 673,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,259.50 : 1,200,978.80 = 488,314.53 : x
  2. Step 2: Convert to fraction form
    870,259.50/1,200,978.80 = 488,314.53/x
  3. Step 3: Cross multiply
    870,259.50x = 1,200,978.80 × 488,314.53
  4. Step 4: Simplify right side
    870,259.50x = 586,455,397,651.57
  5. Step 5: Solve for x
    x = 586,455,397,651.57/870,259.50
  6. Step 6: Final answer
    x = 673,885.66

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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.