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Finding the Fourth Proportional to 338,259.79, 507,389.33 and 138,580.53

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Solution

The fourth proportional to 338,259.79, 507,389.33 and 138,580.53 is: 207,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,259.79 : 507,389.33 = 138,580.53 : x
  2. Step 2: Convert to fraction form
    338,259.79/507,389.33 = 138,580.53/x
  3. Step 3: Cross multiply
    338,259.79x = 507,389.33 × 138,580.53
  4. Step 4: Simplify right side
    338,259.79x = 70,314,283,565.55
  5. Step 5: Solve for x
    x = 70,314,283,565.55/338,259.79
  6. Step 6: Final answer
    x = 207,870.66

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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.