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Finding the Fourth Proportional to 549,049.71, 757,696.34 and 316,348.05

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Solution

The fourth proportional to 549,049.71, 757,696.34 and 316,348.05 is: 436,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,049.71 : 757,696.34 = 316,348.05 : x
  2. Step 2: Convert to fraction form
    549,049.71/757,696.34 = 316,348.05/x
  3. Step 3: Cross multiply
    549,049.71x = 757,696.34 × 316,348.05
  4. Step 4: Simplify right side
    549,049.71x = 239,695,759,651.14
  5. Step 5: Solve for x
    x = 239,695,759,651.14/549,049.71
  6. Step 6: Final answer
    x = 436,564.77

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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.