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Finding the Fourth Proportional to 287,807.10, 431,710.65 and 90,815.10

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Solution

The fourth proportional to 287,807.10, 431,710.65 and 90,815.10 is: 136,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,807.10 : 431,710.65 = 90,815.10 : x
  2. Step 2: Convert to fraction form
    287,807.10/431,710.65 = 90,815.10/x
  3. Step 3: Cross multiply
    287,807.10x = 431,710.65 × 90,815.10
  4. Step 4: Simplify right side
    287,807.10x = 39,205,845,850.82
  5. Step 5: Solve for x
    x = 39,205,845,850.82/287,807.10
  6. Step 6: Final answer
    x = 136,222.65

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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.