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Finding the Fourth Proportional to 1,178,814, 1,768,221 and 430,860

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Solution

The fourth proportional to 1,178,814, 1,768,221 and 430,860 is: 646,290

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,814 : 1,768,221 = 430,860 : x
  2. Step 2: Convert to fraction form
    1,178,814/1,768,221 = 430,860/x
  3. Step 3: Cross multiply
    1,178,814x = 1,768,221 × 430,860
  4. Step 4: Simplify right side
    1,178,814x = 761,855,700,060
  5. Step 5: Solve for x
    x = 761,855,700,060/1,178,814
  6. Step 6: Final answer
    x = 646,290

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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.