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Finding the Fourth Proportional to 519,210, 716,509.80 and 280,746

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Solution

The fourth proportional to 519,210, 716,509.80 and 280,746 is: 387,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,210 : 716,509.80 = 280,746 : x
  2. Step 2: Convert to fraction form
    519,210/716,509.80 = 280,746/x
  3. Step 3: Cross multiply
    519,210x = 716,509.80 × 280,746
  4. Step 4: Simplify right side
    519,210x = 201,157,260,310.80
  5. Step 5: Solve for x
    x = 201,157,260,310.80/519,210
  6. Step 6: Final answer
    x = 387,429.48

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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.