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Finding the Fourth Proportional to 401,459.84, 553,530.24 and 346,914.56

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Solution

The fourth proportional to 401,459.84, 553,530.24 and 346,914.56 is: 478,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,459.84 : 553,530.24 = 346,914.56 : x
  2. Step 2: Convert to fraction form
    401,459.84/553,530.24 = 346,914.56/x
  3. Step 3: Cross multiply
    401,459.84x = 553,530.24 × 346,914.56
  4. Step 4: Simplify right side
    401,459.84x = 192,027,699,656.29
  5. Step 5: Solve for x
    x = 192,027,699,656.29/401,459.84
  6. Step 6: Final answer
    x = 478,323.56

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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.