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Finding the Fourth Proportional to 287,754.53, 397,088.93 and 160,429.01

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Solution

The fourth proportional to 287,754.53, 397,088.93 and 160,429.01 is: 221,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,754.53 : 397,088.93 = 160,429.01 : x
  2. Step 2: Convert to fraction form
    287,754.53/397,088.93 = 160,429.01/x
  3. Step 3: Cross multiply
    287,754.53x = 397,088.93 × 160,429.01
  4. Step 4: Simplify right side
    287,754.53x = 63,704,582,337.49
  5. Step 5: Solve for x
    x = 63,704,582,337.49/287,754.53
  6. Step 6: Final answer
    x = 221,385.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.