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Finding the Fourth Proportional to 459,004.10, 688,506.15 and 434,509.70

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Solution

The fourth proportional to 459,004.10, 688,506.15 and 434,509.70 is: 651,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,004.10 : 688,506.15 = 434,509.70 : x
  2. Step 2: Convert to fraction form
    459,004.10/688,506.15 = 434,509.70/x
  3. Step 3: Cross multiply
    459,004.10x = 688,506.15 × 434,509.70
  4. Step 4: Simplify right side
    459,004.10x = 299,162,600,684.66
  5. Step 5: Solve for x
    x = 299,162,600,684.66/459,004.10
  6. Step 6: Final answer
    x = 651,764.55

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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.