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Finding the Fourth Proportional to 357,705.17, 493,139.87 and 285,353.62

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Solution

The fourth proportional to 357,705.17, 493,139.87 and 285,353.62 is: 393,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,705.17 : 493,139.87 = 285,353.62 : x
  2. Step 2: Convert to fraction form
    357,705.17/493,139.87 = 285,353.62/x
  3. Step 3: Cross multiply
    357,705.17x = 493,139.87 × 285,353.62
  4. Step 4: Simplify right side
    357,705.17x = 140,719,247,070.83
  5. Step 5: Solve for x
    x = 140,719,247,070.83/357,705.17
  6. Step 6: Final answer
    x = 393,394.51

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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.