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Finding the Fourth Proportional to 500,294.28, 689,939.64 and 463,139.58

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Solution

The fourth proportional to 500,294.28, 689,939.64 and 463,139.58 is: 638,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,294.28 : 689,939.64 = 463,139.58 : x
  2. Step 2: Convert to fraction form
    500,294.28/689,939.64 = 463,139.58/x
  3. Step 3: Cross multiply
    500,294.28x = 689,939.64 × 463,139.58
  4. Step 4: Simplify right side
    500,294.28x = 319,538,355,094.95
  5. Step 5: Solve for x
    x = 319,538,355,094.95/500,294.28
  6. Step 6: Final answer
    x = 638,700.80

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1.5x scale

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.