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Finding the Fourth Proportional to 459,756.14, 688,737.54 and 259,470.68

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Solution

The fourth proportional to 459,756.14, 688,737.54 and 259,470.68 is: 388,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,756.14 : 688,737.54 = 259,470.68 : x
  2. Step 2: Convert to fraction form
    459,756.14/688,737.54 = 259,470.68/x
  3. Step 3: Cross multiply
    459,756.14x = 688,737.54 × 259,470.68
  4. Step 4: Simplify right side
    459,756.14x = 178,707,196,547.97
  5. Step 5: Solve for x
    x = 178,707,196,547.97/459,756.14
  6. Step 6: Final answer
    x = 388,699.97

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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.