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Finding the Fourth Proportional to 434,720.10, 652,080.15 and 400,505.70

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Solution

The fourth proportional to 434,720.10, 652,080.15 and 400,505.70 is: 600,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,720.10 : 652,080.15 = 400,505.70 : x
  2. Step 2: Convert to fraction form
    434,720.10/652,080.15 = 400,505.70/x
  3. Step 3: Cross multiply
    434,720.10x = 652,080.15 × 400,505.70
  4. Step 4: Simplify right side
    434,720.10x = 261,161,816,931.86
  5. Step 5: Solve for x
    x = 261,161,816,931.86/434,720.10
  6. Step 6: Final answer
    x = 600,758.55

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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.