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Finding the Fourth Proportional to 487,013.36, 729,513.68 and 286,716.56

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Solution

The fourth proportional to 487,013.36, 729,513.68 and 286,716.56 is: 429,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,013.36 : 729,513.68 = 286,716.56 : x
  2. Step 2: Convert to fraction form
    487,013.36/729,513.68 = 286,716.56/x
  3. Step 3: Cross multiply
    487,013.36x = 729,513.68 × 286,716.56
  4. Step 4: Simplify right side
    487,013.36x = 209,163,652,802.54
  5. Step 5: Solve for x
    x = 209,163,652,802.54/487,013.36
  6. Step 6: Final answer
    x = 429,482.37

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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.