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Finding the Fourth Proportional to 429,818.40, 644,500.80 and 145,411.20

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Solution

The fourth proportional to 429,818.40, 644,500.80 and 145,411.20 is: 218,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,818.40 : 644,500.80 = 145,411.20 : x
  2. Step 2: Convert to fraction form
    429,818.40/644,500.80 = 145,411.20/x
  3. Step 3: Cross multiply
    429,818.40x = 644,500.80 × 145,411.20
  4. Step 4: Simplify right side
    429,818.40x = 93,717,634,728.96
  5. Step 5: Solve for x
    x = 93,717,634,728.96/429,818.40
  6. Step 6: Final answer
    x = 218,040.07

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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.