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Finding the Fourth Proportional to 287,547.60, 430,997.40 and 137,859.60

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Solution

The fourth proportional to 287,547.60, 430,997.40 and 137,859.60 is: 206,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,547.60 : 430,997.40 = 137,859.60 : x
  2. Step 2: Convert to fraction form
    287,547.60/430,997.40 = 137,859.60/x
  3. Step 3: Cross multiply
    287,547.60x = 430,997.40 × 137,859.60
  4. Step 4: Simplify right side
    287,547.60x = 59,417,129,165.04
  5. Step 5: Solve for x
    x = 59,417,129,165.04/287,547.60
  6. Step 6: Final answer
    x = 206,634.06

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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.