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Finding the Fourth Proportional to 339,284.08, 508,916.40 and 139,547.80

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Solution

The fourth proportional to 339,284.08, 508,916.40 and 139,547.80 is: 209,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,284.08 : 508,916.40 = 139,547.80 : x
  2. Step 2: Convert to fraction form
    339,284.08/508,916.40 = 139,547.80/x
  3. Step 3: Cross multiply
    339,284.08x = 508,916.40 × 139,547.80
  4. Step 4: Simplify right side
    339,284.08x = 71,018,164,003.92
  5. Step 5: Solve for x
    x = 71,018,164,003.92/339,284.08
  6. Step 6: Final answer
    x = 209,317.70

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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.