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Finding the Fourth Proportional to 289,002.40, 433,503.60 and 266,192.80

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Solution

The fourth proportional to 289,002.40, 433,503.60 and 266,192.80 is: 399,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,002.40 : 433,503.60 = 266,192.80 : x
  2. Step 2: Convert to fraction form
    289,002.40/433,503.60 = 266,192.80/x
  3. Step 3: Cross multiply
    289,002.40x = 433,503.60 × 266,192.80
  4. Step 4: Simplify right side
    289,002.40x = 115,395,537,094.08
  5. Step 5: Solve for x
    x = 115,395,537,094.08/289,002.40
  6. Step 6: Final answer
    x = 399,289.20

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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.