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Finding the Fourth Proportional to 518,085.60, 714,994.74 and 288,657.96

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Solution

The fourth proportional to 518,085.60, 714,994.74 and 288,657.96 is: 398,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,085.60 : 714,994.74 = 288,657.96 : x
  2. Step 2: Convert to fraction form
    518,085.60/714,994.74 = 288,657.96/x
  3. Step 3: Cross multiply
    518,085.60x = 714,994.74 × 288,657.96
  4. Step 4: Simplify right side
    518,085.60x = 206,388,923,059.13
  5. Step 5: Solve for x
    x = 206,388,923,059.13/518,085.60
  6. Step 6: Final answer
    x = 398,368.38

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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.