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Finding the Fourth Proportional to 357,538.07, 493,280.32 and 204,520.51

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Solution

The fourth proportional to 357,538.07, 493,280.32 and 204,520.51 is: 282,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,538.07 : 493,280.32 = 204,520.51 : x
  2. Step 2: Convert to fraction form
    357,538.07/493,280.32 = 204,520.51/x
  3. Step 3: Cross multiply
    357,538.07x = 493,280.32 × 204,520.51
  4. Step 4: Simplify right side
    357,538.07x = 100,885,941,596.76
  5. Step 5: Solve for x
    x = 100,885,941,596.76/357,538.07
  6. Step 6: Final answer
    x = 282,168.39

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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.