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Finding the Fourth Proportional to 491,181,602.80, 736,772,404.20 and 430,715,426.80

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Solution

The fourth proportional to 491,181,602.80, 736,772,404.20 and 430,715,426.80 is: 646,073,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,181,602.80 : 736,772,404.20 = 430,715,426.80 : x
  2. Step 2: Convert to fraction form
    491,181,602.80/736,772,404.20 = 430,715,426.80/x
  3. Step 3: Cross multiply
    491,181,602.80x = 736,772,404.20 × 430,715,426.80
  4. Step 4: Simplify right side
    491,181,602.80x = 317,339,240,529,465,152
  5. Step 5: Solve for x
    x = 317,339,240,529,465,152/491,181,602.80
  6. Step 6: Final answer
    x = 646,073,140.20

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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.