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Finding the Fourth Proportional to 289,602.92, 434,462.32 and 100,070.20

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Solution

The fourth proportional to 289,602.92, 434,462.32 and 100,070.20 is: 150,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,602.92 : 434,462.32 = 100,070.20 : x
  2. Step 2: Convert to fraction form
    289,602.92/434,462.32 = 100,070.20/x
  3. Step 3: Cross multiply
    289,602.92x = 434,462.32 × 100,070.20
  4. Step 4: Simplify right side
    289,602.92x = 43,476,731,254.86
  5. Step 5: Solve for x
    x = 43,476,731,254.86/289,602.92
  6. Step 6: Final answer
    x = 150,125.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.