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Finding the Fourth Proportional to 478,541.40, 717,771.60 and 146,117.40

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Solution

The fourth proportional to 478,541.40, 717,771.60 and 146,117.40 is: 219,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,541.40 : 717,771.60 = 146,117.40 : x
  2. Step 2: Convert to fraction form
    478,541.40/717,771.60 = 146,117.40/x
  3. Step 3: Cross multiply
    478,541.40x = 717,771.60 × 146,117.40
  4. Step 4: Simplify right side
    478,541.40x = 104,878,919,985.84
  5. Step 5: Solve for x
    x = 104,878,919,985.84/478,541.40
  6. Step 6: Final answer
    x = 219,163.73

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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.