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Finding the Fourth Proportional to 390,107.49, 584,995.06 and 153,284.04

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Solution

The fourth proportional to 390,107.49, 584,995.06 and 153,284.04 is: 229,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,107.49 : 584,995.06 = 153,284.04 : x
  2. Step 2: Convert to fraction form
    390,107.49/584,995.06 = 153,284.04/x
  3. Step 3: Cross multiply
    390,107.49x = 584,995.06 × 153,284.04
  4. Step 4: Simplify right side
    390,107.49x = 89,670,406,176.84
  5. Step 5: Solve for x
    x = 89,670,406,176.84/390,107.49
  6. Step 6: Final answer
    x = 229,860.77

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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.