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Finding the Fourth Proportional to 429,459.33, 643,346.34 and 349,583.25

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Solution

The fourth proportional to 429,459.33, 643,346.34 and 349,583.25 is: 523,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,459.33 : 643,346.34 = 349,583.25 : x
  2. Step 2: Convert to fraction form
    429,459.33/643,346.34 = 349,583.25/x
  3. Step 3: Cross multiply
    429,459.33x = 643,346.34 × 349,583.25
  4. Step 4: Simplify right side
    429,459.33x = 224,903,104,412.81
  5. Step 5: Solve for x
    x = 224,903,104,412.81/429,459.33
  6. Step 6: Final answer
    x = 523,688.95

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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.