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Finding the Fourth Proportional to 312,646.10, 431,459.64 and 191,854.12

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Solution

The fourth proportional to 312,646.10, 431,459.64 and 191,854.12 is: 264,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,646.10 : 431,459.64 = 191,854.12 : x
  2. Step 2: Convert to fraction form
    312,646.10/431,459.64 = 191,854.12/x
  3. Step 3: Cross multiply
    312,646.10x = 431,459.64 × 191,854.12
  4. Step 4: Simplify right side
    312,646.10x = 82,777,309,547.72
  5. Step 5: Solve for x
    x = 82,777,309,547.72/312,646.10
  6. Step 6: Final answer
    x = 264,763.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.