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Finding the Fourth Proportional to 521,462, 719,617.59 and 282,998

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Solution

The fourth proportional to 521,462, 719,617.59 and 282,998 is: 390,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,462 : 719,617.59 = 282,998 : x
  2. Step 2: Convert to fraction form
    521,462/719,617.59 = 282,998/x
  3. Step 3: Cross multiply
    521,462x = 719,617.59 × 282,998
  4. Step 4: Simplify right side
    521,462x = 203,650,338,734.82
  5. Step 5: Solve for x
    x = 203,650,338,734.82/521,462
  6. Step 6: Final answer
    x = 390,537.26

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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.