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Finding the Fourth Proportional to 317,690.86, 478,767.46 and 286,140.46

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Solution

The fourth proportional to 317,690.86, 478,767.46 and 286,140.46 is: 431,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,690.86 : 478,767.46 = 286,140.46 : x
  2. Step 2: Convert to fraction form
    317,690.86/478,767.46 = 286,140.46/x
  3. Step 3: Cross multiply
    317,690.86x = 478,767.46 × 286,140.46
  4. Step 4: Simplify right side
    317,690.86x = 136,994,741,237.43
  5. Step 5: Solve for x
    x = 136,994,741,237.43/317,690.86
  6. Step 6: Final answer
    x = 431,220.28

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1.5x scale

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.