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Finding the Fourth Proportional to 497,369.76, 686,348.80 and 282,509.16

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Solution

The fourth proportional to 497,369.76, 686,348.80 and 282,509.16 is: 389,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,369.76 : 686,348.80 = 282,509.16 : x
  2. Step 2: Convert to fraction form
    497,369.76/686,348.80 = 282,509.16/x
  3. Step 3: Cross multiply
    497,369.76x = 686,348.80 × 282,509.16
  4. Step 4: Simplify right side
    497,369.76x = 193,899,822,955.01
  5. Step 5: Solve for x
    x = 193,899,822,955.01/497,369.76
  6. Step 6: Final answer
    x = 389,850.45

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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.