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Finding the Fourth Proportional to 289,148.42, 433,870.90 and 139,516.32

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Solution

The fourth proportional to 289,148.42, 433,870.90 and 139,516.32 is: 209,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,148.42 : 433,870.90 = 139,516.32 : x
  2. Step 2: Convert to fraction form
    289,148.42/433,870.90 = 139,516.32/x
  3. Step 3: Cross multiply
    289,148.42x = 433,870.90 × 139,516.32
  4. Step 4: Simplify right side
    289,148.42x = 60,532,071,323.09
  5. Step 5: Solve for x
    x = 60,532,071,323.09/289,148.42
  6. Step 6: Final answer
    x = 209,346.02

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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.