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Finding the Fourth Proportional to 261,406.70, 392,498.85 and 202,309.10

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Solution

The fourth proportional to 261,406.70, 392,498.85 and 202,309.10 is: 303,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,406.70 : 392,498.85 = 202,309.10 : x
  2. Step 2: Convert to fraction form
    261,406.70/392,498.85 = 202,309.10/x
  3. Step 3: Cross multiply
    261,406.70x = 392,498.85 × 202,309.10
  4. Step 4: Simplify right side
    261,406.70x = 79,406,089,094.54
  5. Step 5: Solve for x
    x = 79,406,089,094.54/261,406.70
  6. Step 6: Final answer
    x = 303,764.55

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1.5x scale

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.