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Finding the Fourth Proportional to 521,966, 720,313.80 and 283,502

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Solution

The fourth proportional to 521,966, 720,313.80 and 283,502 is: 391,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,966 : 720,313.80 = 283,502 : x
  2. Step 2: Convert to fraction form
    521,966/720,313.80 = 283,502/x
  3. Step 3: Cross multiply
    521,966x = 720,313.80 × 283,502
  4. Step 4: Simplify right side
    521,966x = 204,210,402,927.60
  5. Step 5: Solve for x
    x = 204,210,402,927.60/521,966
  6. Step 6: Final answer
    x = 391,233.15

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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.