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Finding the Fourth Proportional to 219,392.28, 328,946.40 and 144,285.03

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Solution

The fourth proportional to 219,392.28, 328,946.40 and 144,285.03 is: 216,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,392.28 : 328,946.40 = 144,285.03 : x
  2. Step 2: Convert to fraction form
    219,392.28/328,946.40 = 144,285.03/x
  3. Step 3: Cross multiply
    219,392.28x = 328,946.40 × 144,285.03
  4. Step 4: Simplify right side
    219,392.28x = 47,462,041,192.39
  5. Step 5: Solve for x
    x = 47,462,041,192.39/219,392.28
  6. Step 6: Final answer
    x = 216,334.14

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1.5x scale

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.