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Finding the Fourth Proportional to 398,160.16, 597,328.83 and 145,440.16

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Solution

The fourth proportional to 398,160.16, 597,328.83 and 145,440.16 is: 218,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,160.16 : 597,328.83 = 145,440.16 : x
  2. Step 2: Convert to fraction form
    398,160.16/597,328.83 = 145,440.16/x
  3. Step 3: Cross multiply
    398,160.16x = 597,328.83 × 145,440.16
  4. Step 4: Simplify right side
    398,160.16x = 86,875,599,114.49
  5. Step 5: Solve for x
    x = 86,875,599,114.49/398,160.16
  6. Step 6: Final answer
    x = 218,192.60

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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.