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Finding the Fourth Proportional to 390,053.20, 584,642.40 and 200,440.30

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Solution

The fourth proportional to 390,053.20, 584,642.40 and 200,440.30 is: 300,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,053.20 : 584,642.40 = 200,440.30 : x
  2. Step 2: Convert to fraction form
    390,053.20/584,642.40 = 200,440.30/x
  3. Step 3: Cross multiply
    390,053.20x = 584,642.40 × 200,440.30
  4. Step 4: Simplify right side
    390,053.20x = 117,185,898,048.72
  5. Step 5: Solve for x
    x = 117,185,898,048.72/390,053.20
  6. Step 6: Final answer
    x = 300,435.68

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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.