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Finding the Fourth Proportional to 421,459.49, 631,860.57 and 286,166.81

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Solution

The fourth proportional to 421,459.49, 631,860.57 and 286,166.81 is: 429,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,459.49 : 631,860.57 = 286,166.81 : x
  2. Step 2: Convert to fraction form
    421,459.49/631,860.57 = 286,166.81/x
  3. Step 3: Cross multiply
    421,459.49x = 631,860.57 × 286,166.81
  4. Step 4: Simplify right side
    421,459.49x = 180,817,520,522.38
  5. Step 5: Solve for x
    x = 180,817,520,522.38/421,459.49
  6. Step 6: Final answer
    x = 429,027.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.