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Finding the Fourth Proportional to 406,253.84, 610,315 and 286,586.20

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Solution

The fourth proportional to 406,253.84, 610,315 and 286,586.20 is: 430,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,253.84 : 610,315 = 286,586.20 : x
  2. Step 2: Convert to fraction form
    406,253.84/610,315 = 286,586.20/x
  3. Step 3: Cross multiply
    406,253.84x = 610,315 × 286,586.20
  4. Step 4: Simplify right side
    406,253.84x = 174,907,856,653
  5. Step 5: Solve for x
    x = 174,907,856,653/406,253.84
  6. Step 6: Final answer
    x = 430,538.35

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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.