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Finding the Fourth Proportional to 338,083.68, 507,209.76 and 101,430.72

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Solution

The fourth proportional to 338,083.68, 507,209.76 and 101,430.72 is: 152,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,083.68 : 507,209.76 = 101,430.72 : x
  2. Step 2: Convert to fraction form
    338,083.68/507,209.76 = 101,430.72/x
  3. Step 3: Cross multiply
    338,083.68x = 507,209.76 × 101,430.72
  4. Step 4: Simplify right side
    338,083.68x = 51,446,651,147.83
  5. Step 5: Solve for x
    x = 51,446,651,147.83/338,083.68
  6. Step 6: Final answer
    x = 152,171.35

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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.