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Finding the Fourth Proportional to 542,085.87, 748,077.77 and 300,384.09

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Solution

The fourth proportional to 542,085.87, 748,077.77 and 300,384.09 is: 414,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,085.87 : 748,077.77 = 300,384.09 : x
  2. Step 2: Convert to fraction form
    542,085.87/748,077.77 = 300,384.09/x
  3. Step 3: Cross multiply
    542,085.87x = 748,077.77 × 300,384.09
  4. Step 4: Simplify right side
    542,085.87x = 224,710,658,688.76
  5. Step 5: Solve for x
    x = 224,710,658,688.76/542,085.87
  6. Step 6: Final answer
    x = 414,529.64

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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.