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Finding the Fourth Proportional to 338,390, 507,501.84 and 148,897.92

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Solution

The fourth proportional to 338,390, 507,501.84 and 148,897.92 is: 223,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,390 : 507,501.84 = 148,897.92 : x
  2. Step 2: Convert to fraction form
    338,390/507,501.84 = 148,897.92/x
  3. Step 3: Cross multiply
    338,390x = 507,501.84 × 148,897.92
  4. Step 4: Simplify right side
    338,390x = 75,565,968,372.17
  5. Step 5: Solve for x
    x = 75,565,968,372.17/338,390
  6. Step 6: Final answer
    x = 223,310.29

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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.