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Finding the Fourth Proportional to 389,987.74, 537,662.64 and 309,681.10

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Solution

The fourth proportional to 389,987.74, 537,662.64 and 309,681.10 is: 426,946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,987.74 : 537,662.64 = 309,681.10 : x
  2. Step 2: Convert to fraction form
    389,987.74/537,662.64 = 309,681.10/x
  3. Step 3: Cross multiply
    389,987.74x = 537,662.64 × 309,681.10
  4. Step 4: Simplify right side
    389,987.74x = 166,503,957,784.10
  5. Step 5: Solve for x
    x = 166,503,957,784.10/389,987.74
  6. Step 6: Final answer
    x = 426,946.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.