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Finding the Fourth Proportional to 497,485.50, 686,548.51 and 282,661.95

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Solution

The fourth proportional to 497,485.50, 686,548.51 and 282,661.95 is: 390,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,485.50 : 686,548.51 = 282,661.95 : x
  2. Step 2: Convert to fraction form
    497,485.50/686,548.51 = 282,661.95/x
  3. Step 3: Cross multiply
    497,485.50x = 686,548.51 × 282,661.95
  4. Step 4: Simplify right side
    497,485.50x = 194,061,142,474.10
  5. Step 5: Solve for x
    x = 194,061,142,474.10/497,485.50
  6. Step 6: Final answer
    x = 390,084.02

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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.