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Finding the Fourth Proportional to 471,457.12, 707,209 and 134,547.44

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Solution

The fourth proportional to 471,457.12, 707,209 and 134,547.44 is: 201,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,457.12 : 707,209 = 134,547.44 : x
  2. Step 2: Convert to fraction form
    471,457.12/707,209 = 134,547.44/x
  3. Step 3: Cross multiply
    471,457.12x = 707,209 × 134,547.44
  4. Step 4: Simplify right side
    471,457.12x = 95,153,160,494.96
  5. Step 5: Solve for x
    x = 95,153,160,494.96/471,457.12
  6. Step 6: Final answer
    x = 201,827.82

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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.