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Finding the Fourth Proportional to 287,151.82, 430,823.64 and 127,206.04

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Solution

The fourth proportional to 287,151.82, 430,823.64 and 127,206.04 is: 190,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,151.82 : 430,823.64 = 127,206.04 : x
  2. Step 2: Convert to fraction form
    287,151.82/430,823.64 = 127,206.04/x
  3. Step 3: Cross multiply
    287,151.82x = 430,823.64 × 127,206.04
  4. Step 4: Simplify right side
    287,151.82x = 54,803,369,182.79
  5. Step 5: Solve for x
    x = 54,803,369,182.79/287,151.82
  6. Step 6: Final answer
    x = 190,851.55

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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.