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Finding the Fourth Proportional to 577,176.40, 865,764.60 and 478,872.40

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Solution

The fourth proportional to 577,176.40, 865,764.60 and 478,872.40 is: 718,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,176.40 : 865,764.60 = 478,872.40 : x
  2. Step 2: Convert to fraction form
    577,176.40/865,764.60 = 478,872.40/x
  3. Step 3: Cross multiply
    577,176.40x = 865,764.60 × 478,872.40
  4. Step 4: Simplify right side
    577,176.40x = 414,590,771,837.04
  5. Step 5: Solve for x
    x = 414,590,771,837.04/577,176.40
  6. Step 6: Final answer
    x = 718,308.60

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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.