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Finding the Fourth Proportional to 459,305, 688,864.94 and 288,450.40

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Solution

The fourth proportional to 459,305, 688,864.94 and 288,450.40 is: 432,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,305 : 688,864.94 = 288,450.40 : x
  2. Step 2: Convert to fraction form
    459,305/688,864.94 = 288,450.40/x
  3. Step 3: Cross multiply
    459,305x = 688,864.94 × 288,450.40
  4. Step 4: Simplify right side
    459,305x = 198,703,367,488.98
  5. Step 5: Solve for x
    x = 198,703,367,488.98/459,305
  6. Step 6: Final answer
    x = 432,617.47

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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.