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Finding the Fourth Proportional to 604,354.80, 905,438.70 and 288,114.60

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Solution

The fourth proportional to 604,354.80, 905,438.70 and 288,114.60 is: 431,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,354.80 : 905,438.70 = 288,114.60 : x
  2. Step 2: Convert to fraction form
    604,354.80/905,438.70 = 288,114.60/x
  3. Step 3: Cross multiply
    604,354.80x = 905,438.70 × 288,114.60
  4. Step 4: Simplify right side
    604,354.80x = 260,870,108,875.02
  5. Step 5: Solve for x
    x = 260,870,108,875.02/604,354.80
  6. Step 6: Final answer
    x = 431,650.59

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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.