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Finding the Fourth Proportional to 357,612.46, 493,384.86 and 202,542.64

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Solution

The fourth proportional to 357,612.46, 493,384.86 and 202,542.64 is: 279,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,612.46 : 493,384.86 = 202,542.64 : x
  2. Step 2: Convert to fraction form
    357,612.46/493,384.86 = 202,542.64/x
  3. Step 3: Cross multiply
    357,612.46x = 493,384.86 × 202,542.64
  4. Step 4: Simplify right side
    357,612.46x = 99,931,472,080.43
  5. Step 5: Solve for x
    x = 99,931,472,080.43/357,612.46
  6. Step 6: Final answer
    x = 279,440.69

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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.