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Finding the Fourth Proportional to 457,775,999.60, 686,663,999.40 and 407,891,404.40

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Solution

The fourth proportional to 457,775,999.60, 686,663,999.40 and 407,891,404.40 is: 611,837,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,775,999.60 : 686,663,999.40 = 407,891,404.40 : x
  2. Step 2: Convert to fraction form
    457,775,999.60/686,663,999.40 = 407,891,404.40/x
  3. Step 3: Cross multiply
    457,775,999.60x = 686,663,999.40 × 407,891,404.40
  4. Step 4: Simplify right side
    457,775,999.60x = 280,084,343,066,186,720
  5. Step 5: Solve for x
    x = 280,084,343,066,186,720/457,775,999.60
  6. Step 6: Final answer
    x = 611,837,106.60

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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.