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Finding the Fourth Proportional to 390,962.89, 586,492.62 and 138,191.25

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Solution

The fourth proportional to 390,962.89, 586,492.62 and 138,191.25 is: 207,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,962.89 : 586,492.62 = 138,191.25 : x
  2. Step 2: Convert to fraction form
    390,962.89/586,492.62 = 138,191.25/x
  3. Step 3: Cross multiply
    390,962.89x = 586,492.62 × 138,191.25
  4. Step 4: Simplify right side
    390,962.89x = 81,048,148,273.58
  5. Step 5: Solve for x
    x = 81,048,148,273.58/390,962.89
  6. Step 6: Final answer
    x = 207,303.94

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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.