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Finding the Fourth Proportional to 287,963.64, 432,076.74 and 147,820.76

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Solution

The fourth proportional to 287,963.64, 432,076.74 and 147,820.76 is: 221,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,963.64 : 432,076.74 = 147,820.76 : x
  2. Step 2: Convert to fraction form
    287,963.64/432,076.74 = 147,820.76/x
  3. Step 3: Cross multiply
    287,963.64x = 432,076.74 × 147,820.76
  4. Step 4: Simplify right side
    287,963.64x = 63,869,912,085.12
  5. Step 5: Solve for x
    x = 63,869,912,085.12/287,963.64
  6. Step 6: Final answer
    x = 221,798.53

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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.