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Finding the Fourth Proportional to 461,458.60, 692,187.90 and 431,715.40

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Solution

The fourth proportional to 461,458.60, 692,187.90 and 431,715.40 is: 647,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,458.60 : 692,187.90 = 431,715.40 : x
  2. Step 2: Convert to fraction form
    461,458.60/692,187.90 = 431,715.40/x
  3. Step 3: Cross multiply
    461,458.60x = 692,187.90 × 431,715.40
  4. Step 4: Simplify right side
    461,458.60x = 298,828,176,123.66
  5. Step 5: Solve for x
    x = 298,828,176,123.66/461,458.60
  6. Step 6: Final answer
    x = 647,573.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.