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Finding the Fourth Proportional to 484,445, 726,784.20 and 152,021

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Solution

The fourth proportional to 484,445, 726,784.20 and 152,021 is: 228,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,445 : 726,784.20 = 152,021 : x
  2. Step 2: Convert to fraction form
    484,445/726,784.20 = 152,021/x
  3. Step 3: Cross multiply
    484,445x = 726,784.20 × 152,021
  4. Step 4: Simplify right side
    484,445x = 110,486,460,868.20
  5. Step 5: Solve for x
    x = 110,486,460,868.20/484,445
  6. Step 6: Final answer
    x = 228,068.12

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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.