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Finding the Fourth Proportional to 521,392.50, 719,521.65 and 282,928.50

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Solution

The fourth proportional to 521,392.50, 719,521.65 and 282,928.50 is: 390,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,392.50 : 719,521.65 = 282,928.50 : x
  2. Step 2: Convert to fraction form
    521,392.50/719,521.65 = 282,928.50/x
  3. Step 3: Cross multiply
    521,392.50x = 719,521.65 × 282,928.50
  4. Step 4: Simplify right side
    521,392.50x = 203,573,181,152.03
  5. Step 5: Solve for x
    x = 203,573,181,152.03/521,392.50
  6. Step 6: Final answer
    x = 390,441.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.