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Finding the Fourth Proportional to 288,175.19, 432,262.78 and 98,638.02

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Solution

The fourth proportional to 288,175.19, 432,262.78 and 98,638.02 is: 147,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,175.19 : 432,262.78 = 98,638.02 : x
  2. Step 2: Convert to fraction form
    288,175.19/432,262.78 = 98,638.02/x
  3. Step 3: Cross multiply
    288,175.19x = 432,262.78 × 98,638.02
  4. Step 4: Simplify right side
    288,175.19x = 42,637,544,492.30
  5. Step 5: Solve for x
    x = 42,637,544,492.30/288,175.19
  6. Step 6: Final answer
    x = 147,957.03

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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.