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Finding the Fourth Proportional to 390,645.52, 585,985.29 and 191,133.88

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Solution

The fourth proportional to 390,645.52, 585,985.29 and 191,133.88 is: 286,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,645.52 : 585,985.29 = 191,133.88 : x
  2. Step 2: Convert to fraction form
    390,645.52/585,985.29 = 191,133.88/x
  3. Step 3: Cross multiply
    390,645.52x = 585,985.29 × 191,133.88
  4. Step 4: Simplify right side
    390,645.52x = 112,001,642,100.63
  5. Step 5: Solve for x
    x = 112,001,642,100.63/390,645.52
  6. Step 6: Final answer
    x = 286,709.14

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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.