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Finding the Fourth Proportional to 359,266,407, 495,338,218.74 and 299,813,511.80

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Solution

The fourth proportional to 359,266,407, 495,338,218.74 and 299,813,511.80 is: 413,367,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,266,407 : 495,338,218.74 = 299,813,511.80 : x
  2. Step 2: Convert to fraction form
    359,266,407/495,338,218.74 = 299,813,511.80/x
  3. Step 3: Cross multiply
    359,266,407x = 495,338,218.74 × 299,813,511.80
  4. Step 4: Simplify right side
    359,266,407x = 148,509,090,889,195,968
  5. Step 5: Solve for x
    x = 148,509,090,889,195,968/359,266,407
  6. Step 6: Final answer
    x = 413,367,595.73

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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.