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Finding the Fourth Proportional to 317,689.86, 478,765.96 and 286,139.46

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Solution

The fourth proportional to 317,689.86, 478,765.96 and 286,139.46 is: 431,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,689.86 : 478,765.96 = 286,139.46 : x
  2. Step 2: Convert to fraction form
    317,689.86/478,765.96 = 286,139.46/x
  3. Step 3: Cross multiply
    317,689.86x = 478,765.96 × 286,139.46
  4. Step 4: Simplify right side
    317,689.86x = 136,993,831,830.08
  5. Step 5: Solve for x
    x = 136,993,831,830.08/317,689.86
  6. Step 6: Final answer
    x = 431,218.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.