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Finding the Fourth Proportional to 289,210.68, 433,532.85 and 120,779.16

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Solution

The fourth proportional to 289,210.68, 433,532.85 and 120,779.16 is: 181,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,210.68 : 433,532.85 = 120,779.16 : x
  2. Step 2: Convert to fraction form
    289,210.68/433,532.85 = 120,779.16/x
  3. Step 3: Cross multiply
    289,210.68x = 433,532.85 × 120,779.16
  4. Step 4: Simplify right side
    289,210.68x = 52,361,733,455.41
  5. Step 5: Solve for x
    x = 52,361,733,455.41/289,210.68
  6. Step 6: Final answer
    x = 181,050.48

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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.