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Finding the Fourth Proportional to 519,240, 716,551.24 and 280,776

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Solution

The fourth proportional to 519,240, 716,551.24 and 280,776 is: 387,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,240 : 716,551.24 = 280,776 : x
  2. Step 2: Convert to fraction form
    519,240/716,551.24 = 280,776/x
  3. Step 3: Cross multiply
    519,240x = 716,551.24 × 280,776
  4. Step 4: Simplify right side
    519,240x = 201,190,390,962.24
  5. Step 5: Solve for x
    x = 201,190,390,962.24/519,240
  6. Step 6: Final answer
    x = 387,470.90

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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.