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Finding the Fourth Proportional to 357,142.32, 535,713.44 and 278,315.52

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Solution

The fourth proportional to 357,142.32, 535,713.44 and 278,315.52 is: 417,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,142.32 : 535,713.44 = 278,315.52 : x
  2. Step 2: Convert to fraction form
    357,142.32/535,713.44 = 278,315.52/x
  3. Step 3: Cross multiply
    357,142.32x = 535,713.44 × 278,315.52
  4. Step 4: Simplify right side
    357,142.32x = 149,097,364,624.59
  5. Step 5: Solve for x
    x = 149,097,364,624.59/357,142.32
  6. Step 6: Final answer
    x = 417,473.25

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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.