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Finding the Fourth Proportional to 426,165.42, 588,329.39 and 311,315.12

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Solution

The fourth proportional to 426,165.42, 588,329.39 and 311,315.12 is: 429,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,165.42 : 588,329.39 = 311,315.12 : x
  2. Step 2: Convert to fraction form
    426,165.42/588,329.39 = 311,315.12/x
  3. Step 3: Cross multiply
    426,165.42x = 588,329.39 × 311,315.12
  4. Step 4: Simplify right side
    426,165.42x = 183,155,834,647.38
  5. Step 5: Solve for x
    x = 183,155,834,647.38/426,165.42
  6. Step 6: Final answer
    x = 429,776.39

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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.