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Finding the Fourth Proportional to 359,006,812.40, 538,510,218.60 and 297,784,809.20

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Solution

The fourth proportional to 359,006,812.40, 538,510,218.60 and 297,784,809.20 is: 446,677,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,006,812.40 : 538,510,218.60 = 297,784,809.20 : x
  2. Step 2: Convert to fraction form
    359,006,812.40/538,510,218.60 = 297,784,809.20/x
  3. Step 3: Cross multiply
    359,006,812.40x = 538,510,218.60 × 297,784,809.20
  4. Step 4: Simplify right side
    359,006,812.40x = 160,360,162,698,051,296
  5. Step 5: Solve for x
    x = 160,360,162,698,051,296/359,006,812.40
  6. Step 6: Final answer
    x = 446,677,213.80

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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.