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Finding the Fourth Proportional to 426,307.84, 588,480 and 290,789.12

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Solution

The fourth proportional to 426,307.84, 588,480 and 290,789.12 is: 401,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,307.84 : 588,480 = 290,789.12 : x
  2. Step 2: Convert to fraction form
    426,307.84/588,480 = 290,789.12/x
  3. Step 3: Cross multiply
    426,307.84x = 588,480 × 290,789.12
  4. Step 4: Simplify right side
    426,307.84x = 171,123,581,337.60
  5. Step 5: Solve for x
    x = 171,123,581,337.60/426,307.84
  6. Step 6: Final answer
    x = 401,408.48

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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.