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Finding the Fourth Proportional to 311,462.64, 429,813.36 and 175,502.40

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Solution

The fourth proportional to 311,462.64, 429,813.36 and 175,502.40 is: 242,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,462.64 : 429,813.36 = 175,502.40 : x
  2. Step 2: Convert to fraction form
    311,462.64/429,813.36 = 175,502.40/x
  3. Step 3: Cross multiply
    311,462.64x = 429,813.36 × 175,502.40
  4. Step 4: Simplify right side
    311,462.64x = 75,433,276,232.06
  5. Step 5: Solve for x
    x = 75,433,276,232.06/311,462.64
  6. Step 6: Final answer
    x = 242,190.45

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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.