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Finding the Fourth Proportional to 338,325.68, 506,085.96 and 257,754

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Solution

The fourth proportional to 338,325.68, 506,085.96 and 257,754 is: 385,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,325.68 : 506,085.96 = 257,754 : x
  2. Step 2: Convert to fraction form
    338,325.68/506,085.96 = 257,754/x
  3. Step 3: Cross multiply
    338,325.68x = 506,085.96 × 257,754
  4. Step 4: Simplify right side
    338,325.68x = 130,445,680,533.84
  5. Step 5: Solve for x
    x = 130,445,680,533.84/338,325.68
  6. Step 6: Final answer
    x = 385,562.46

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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.