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Finding the Fourth Proportional to 338,340.48, 507,509.80 and 151,220.76

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Solution

The fourth proportional to 338,340.48, 507,509.80 and 151,220.76 is: 226,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,340.48 : 507,509.80 = 151,220.76 : x
  2. Step 2: Convert to fraction form
    338,340.48/507,509.80 = 151,220.76/x
  3. Step 3: Cross multiply
    338,340.48x = 507,509.80 × 151,220.76
  4. Step 4: Simplify right side
    338,340.48x = 76,746,017,663.45
  5. Step 5: Solve for x
    x = 76,746,017,663.45/338,340.48
  6. Step 6: Final answer
    x = 226,830.73

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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.