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Finding the Fourth Proportional to 402,994, 604,487.40 and 150,265.92

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Solution

The fourth proportional to 402,994, 604,487.40 and 150,265.92 is: 225,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,994 : 604,487.40 = 150,265.92 : x
  2. Step 2: Convert to fraction form
    402,994/604,487.40 = 150,265.92/x
  3. Step 3: Cross multiply
    402,994x = 604,487.40 × 150,265.92
  4. Step 4: Simplify right side
    402,994x = 90,833,855,289.41
  5. Step 5: Solve for x
    x = 90,833,855,289.41/402,994
  6. Step 6: Final answer
    x = 225,397.54

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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.