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Finding the Fourth Proportional to 390,473.84, 585,878.34 and 124,256

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Solution

The fourth proportional to 390,473.84, 585,878.34 and 124,256 is: 186,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,473.84 : 585,878.34 = 124,256 : x
  2. Step 2: Convert to fraction form
    390,473.84/585,878.34 = 124,256/x
  3. Step 3: Cross multiply
    390,473.84x = 585,878.34 × 124,256
  4. Step 4: Simplify right side
    390,473.84x = 72,798,899,015.04
  5. Step 5: Solve for x
    x = 72,798,899,015.04/390,473.84
  6. Step 6: Final answer
    x = 186,437.33

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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.