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Finding the Fourth Proportional to 497,483.64, 686,529.69 and 282,635.49

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Solution

The fourth proportional to 497,483.64, 686,529.69 and 282,635.49 is: 390,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,483.64 : 686,529.69 = 282,635.49 : x
  2. Step 2: Convert to fraction form
    497,483.64/686,529.69 = 282,635.49/x
  3. Step 3: Cross multiply
    497,483.64x = 686,529.69 × 282,635.49
  4. Step 4: Simplify right side
    497,483.64x = 194,037,655,332.70
  5. Step 5: Solve for x
    x = 194,037,655,332.70/497,483.64
  6. Step 6: Final answer
    x = 390,038.26

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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.