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Finding the Fourth Proportional to 402,428.60, 603,424.20 and 165,795.20

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Solution

The fourth proportional to 402,428.60, 603,424.20 and 165,795.20 is: 248,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,428.60 : 603,424.20 = 165,795.20 : x
  2. Step 2: Convert to fraction form
    402,428.60/603,424.20 = 165,795.20/x
  3. Step 3: Cross multiply
    402,428.60x = 603,424.20 × 165,795.20
  4. Step 4: Simplify right side
    402,428.60x = 100,044,835,923.84
  5. Step 5: Solve for x
    x = 100,044,835,923.84/402,428.60
  6. Step 6: Final answer
    x = 248,602.70

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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.