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Finding the Fourth Proportional to 647,901.40, 894,097.83 and 357,515.68

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Solution

The fourth proportional to 647,901.40, 894,097.83 and 357,515.68 is: 493,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,901.40 : 894,097.83 = 357,515.68 : x
  2. Step 2: Convert to fraction form
    647,901.40/894,097.83 = 357,515.68/x
  3. Step 3: Cross multiply
    647,901.40x = 894,097.83 × 357,515.68
  4. Step 4: Simplify right side
    647,901.40x = 319,653,993,678.97
  5. Step 5: Solve for x
    x = 319,653,993,678.97/647,901.40
  6. Step 6: Final answer
    x = 493,368.27

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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.