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Finding the Fourth Proportional to 406,547.94, 609,918.80 and 140,310.76

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Solution

The fourth proportional to 406,547.94, 609,918.80 and 140,310.76 is: 210,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,547.94 : 609,918.80 = 140,310.76 : x
  2. Step 2: Convert to fraction form
    406,547.94/609,918.80 = 140,310.76/x
  3. Step 3: Cross multiply
    406,547.94x = 609,918.80 × 140,310.76
  4. Step 4: Simplify right side
    406,547.94x = 85,578,170,366.29
  5. Step 5: Solve for x
    x = 85,578,170,366.29/406,547.94
  6. Step 6: Final answer
    x = 210,499.58

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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.