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Finding the Fourth Proportional to 393,130.14, 589,346.13 and 153,188.46

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Solution

The fourth proportional to 393,130.14, 589,346.13 and 153,188.46 is: 229,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,130.14 : 589,346.13 = 153,188.46 : x
  2. Step 2: Convert to fraction form
    393,130.14/589,346.13 = 153,188.46/x
  3. Step 3: Cross multiply
    393,130.14x = 589,346.13 × 153,188.46
  4. Step 4: Simplify right side
    393,130.14x = 90,281,026,061.66
  5. Step 5: Solve for x
    x = 90,281,026,061.66/393,130.14
  6. Step 6: Final answer
    x = 229,646.67

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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.