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Finding the Fourth Proportional to 521,398.49, 719,362.62 and 291,921.98

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Solution

The fourth proportional to 521,398.49, 719,362.62 and 291,921.98 is: 402,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,398.49 : 719,362.62 = 291,921.98 : x
  2. Step 2: Convert to fraction form
    521,398.49/719,362.62 = 291,921.98/x
  3. Step 3: Cross multiply
    521,398.49x = 719,362.62 × 291,921.98
  4. Step 4: Simplify right side
    521,398.49x = 209,997,756,771.58
  5. Step 5: Solve for x
    x = 209,997,756,771.58/521,398.49
  6. Step 6: Final answer
    x = 402,758.66

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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.