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Finding the Fourth Proportional to 521,402, 719,534.76 and 282,938

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Solution

The fourth proportional to 521,402, 719,534.76 and 282,938 is: 390,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,402 : 719,534.76 = 282,938 : x
  2. Step 2: Convert to fraction form
    521,402/719,534.76 = 282,938/x
  3. Step 3: Cross multiply
    521,402x = 719,534.76 × 282,938
  4. Step 4: Simplify right side
    521,402x = 203,583,725,924.88
  5. Step 5: Solve for x
    x = 203,583,725,924.88/521,402
  6. Step 6: Final answer
    x = 390,454.44

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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.