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Finding the Fourth Proportional to 289,354.36, 434,312.10 and 139,700.20

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Solution

The fourth proportional to 289,354.36, 434,312.10 and 139,700.20 is: 209,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,354.36 : 434,312.10 = 139,700.20 : x
  2. Step 2: Convert to fraction form
    289,354.36/434,312.10 = 139,700.20/x
  3. Step 3: Cross multiply
    289,354.36x = 434,312.10 × 139,700.20
  4. Step 4: Simplify right side
    289,354.36x = 60,673,487,232.42
  5. Step 5: Solve for x
    x = 60,673,487,232.42/289,354.36
  6. Step 6: Final answer
    x = 209,685.75

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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.