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Finding the Fourth Proportional to 491,701.40, 677,119.68 and 427,141.16

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Solution

The fourth proportional to 491,701.40, 677,119.68 and 427,141.16 is: 588,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,701.40 : 677,119.68 = 427,141.16 : x
  2. Step 2: Convert to fraction form
    491,701.40/677,119.68 = 427,141.16/x
  3. Step 3: Cross multiply
    491,701.40x = 677,119.68 × 427,141.16
  4. Step 4: Simplify right side
    491,701.40x = 289,225,685,574.03
  5. Step 5: Solve for x
    x = 289,225,685,574.03/491,701.40
  6. Step 6: Final answer
    x = 588,214.08

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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.