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Finding the Fourth Proportional to 459,732.84, 634,283.64 and 278,386.80

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Solution

The fourth proportional to 459,732.84, 634,283.64 and 278,386.80 is: 384,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,732.84 : 634,283.64 = 278,386.80 : x
  2. Step 2: Convert to fraction form
    459,732.84/634,283.64 = 278,386.80/x
  3. Step 3: Cross multiply
    459,732.84x = 634,283.64 × 278,386.80
  4. Step 4: Simplify right side
    459,732.84x = 176,576,192,831.95
  5. Step 5: Solve for x
    x = 176,576,192,831.95/459,732.84
  6. Step 6: Final answer
    x = 384,084.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.