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Finding the Fourth Proportional to 497,442.47, 686,275.74 and 306,123.71

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Solution

The fourth proportional to 497,442.47, 686,275.74 and 306,123.71 is: 422,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,442.47 : 686,275.74 = 306,123.71 : x
  2. Step 2: Convert to fraction form
    497,442.47/686,275.74 = 306,123.71/x
  3. Step 3: Cross multiply
    497,442.47x = 686,275.74 × 306,123.71
  4. Step 4: Simplify right side
    497,442.47x = 210,085,272,180.42
  5. Step 5: Solve for x
    x = 210,085,272,180.42/497,442.47
  6. Step 6: Final answer
    x = 422,330.80

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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.