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Finding the Fourth Proportional to 406,543.17, 609,911.65 and 140,306

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Solution

The fourth proportional to 406,543.17, 609,911.65 and 140,306 is: 210,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,543.17 : 609,911.65 = 140,306 : x
  2. Step 2: Convert to fraction form
    406,543.17/609,911.65 = 140,306/x
  3. Step 3: Cross multiply
    406,543.17x = 609,911.65 × 140,306
  4. Step 4: Simplify right side
    406,543.17x = 85,574,263,964.90
  5. Step 5: Solve for x
    x = 85,574,263,964.90/406,543.17
  6. Step 6: Final answer
    x = 210,492.44

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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.