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Finding the Fourth Proportional to 390,608.40, 586,152.72 and 180,261.84

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Solution

The fourth proportional to 390,608.40, 586,152.72 and 180,261.84 is: 270,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,608.40 : 586,152.72 = 180,261.84 : x
  2. Step 2: Convert to fraction form
    390,608.40/586,152.72 = 180,261.84/x
  3. Step 3: Cross multiply
    390,608.40x = 586,152.72 × 180,261.84
  4. Step 4: Simplify right side
    390,608.40x = 105,660,967,828.21
  5. Step 5: Solve for x
    x = 105,660,967,828.21/390,608.40
  6. Step 6: Final answer
    x = 270,503.57

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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.