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Finding the Fourth Proportional to 478,553,686.80, 717,830,530.20 and 409,678,933.20

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Solution

The fourth proportional to 478,553,686.80, 717,830,530.20 and 409,678,933.20 is: 614,518,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,553,686.80 : 717,830,530.20 = 409,678,933.20 : x
  2. Step 2: Convert to fraction form
    478,553,686.80/717,830,530.20 = 409,678,933.20/x
  3. Step 3: Cross multiply
    478,553,686.80x = 717,830,530.20 × 409,678,933.20
  4. Step 4: Simplify right side
    478,553,686.80x = 294,080,045,830,726,400
  5. Step 5: Solve for x
    x = 294,080,045,830,726,400/478,553,686.80
  6. Step 6: Final answer
    x = 614,518,399.80

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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.