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Finding the Fourth Proportional to 348,475, 480,821.34 and 205,182.76

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Solution

The fourth proportional to 348,475, 480,821.34 and 205,182.76 is: 283,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,475 : 480,821.34 = 205,182.76 : x
  2. Step 2: Convert to fraction form
    348,475/480,821.34 = 205,182.76/x
  3. Step 3: Cross multiply
    348,475x = 480,821.34 × 205,182.76
  4. Step 4: Simplify right side
    348,475x = 98,656,249,608.10
  5. Step 5: Solve for x
    x = 98,656,249,608.10/348,475
  6. Step 6: Final answer
    x = 283,108.54

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1.5x scale

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.