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Finding the Fourth Proportional to 329,475, 454,677.12 and 178,572

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Solution

The fourth proportional to 329,475, 454,677.12 and 178,572 is: 246,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,475 : 454,677.12 = 178,572 : x
  2. Step 2: Convert to fraction form
    329,475/454,677.12 = 178,572/x
  3. Step 3: Cross multiply
    329,475x = 454,677.12 × 178,572
  4. Step 4: Simplify right side
    329,475x = 81,192,602,672.64
  5. Step 5: Solve for x
    x = 81,192,602,672.64/329,475
  6. Step 6: Final answer
    x = 246,430.24

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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.