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Finding the Fourth Proportional to 586,447.40, 879,282.30 and 212,421.80

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Solution

The fourth proportional to 586,447.40, 879,282.30 and 212,421.80 is: 318,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,447.40 : 879,282.30 = 212,421.80 : x
  2. Step 2: Convert to fraction form
    586,447.40/879,282.30 = 212,421.80/x
  3. Step 3: Cross multiply
    586,447.40x = 879,282.30 × 212,421.80
  4. Step 4: Simplify right side
    586,447.40x = 186,778,728,874.14
  5. Step 5: Solve for x
    x = 186,778,728,874.14/586,447.40
  6. Step 6: Final answer
    x = 318,491.87

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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.