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Finding the Fourth Proportional to 288,838.01, 433,266.90 and 99,296.76

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Solution

The fourth proportional to 288,838.01, 433,266.90 and 99,296.76 is: 148,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,838.01 : 433,266.90 = 99,296.76 : x
  2. Step 2: Convert to fraction form
    288,838.01/433,266.90 = 99,296.76/x
  3. Step 3: Cross multiply
    288,838.01x = 433,266.90 × 99,296.76
  4. Step 4: Simplify right side
    288,838.01x = 43,021,999,385.24
  5. Step 5: Solve for x
    x = 43,021,999,385.24/288,838.01
  6. Step 6: Final answer
    x = 148,948.54

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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.