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Finding the Fourth Proportional to 550,063.20, 824,963.76 and 310,280.16

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Solution

The fourth proportional to 550,063.20, 824,963.76 and 310,280.16 is: 465,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,063.20 : 824,963.76 = 310,280.16 : x
  2. Step 2: Convert to fraction form
    550,063.20/824,963.76 = 310,280.16/x
  3. Step 3: Cross multiply
    550,063.20x = 824,963.76 × 310,280.16
  4. Step 4: Simplify right side
    550,063.20x = 255,969,887,447.00
  5. Step 5: Solve for x
    x = 255,969,887,447.00/550,063.20
  6. Step 6: Final answer
    x = 465,346.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.