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Finding the Fourth Proportional to 285,686.19, 428,558.46 and 98,673.39

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Solution

The fourth proportional to 285,686.19, 428,558.46 and 98,673.39 is: 148,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,686.19 : 428,558.46 = 98,673.39 : x
  2. Step 2: Convert to fraction form
    285,686.19/428,558.46 = 98,673.39/x
  3. Step 3: Cross multiply
    285,686.19x = 428,558.46 × 98,673.39
  4. Step 4: Simplify right side
    285,686.19x = 42,287,316,061.38
  5. Step 5: Solve for x
    x = 42,287,316,061.38/285,686.19
  6. Step 6: Final answer
    x = 148,020.16

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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.