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Finding the Fourth Proportional to 430,017.18, 644,776.52 and 145,612.80

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Solution

The fourth proportional to 430,017.18, 644,776.52 and 145,612.80 is: 218,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,017.18 : 644,776.52 = 145,612.80 : x
  2. Step 2: Convert to fraction form
    430,017.18/644,776.52 = 145,612.80/x
  3. Step 3: Cross multiply
    430,017.18x = 644,776.52 × 145,612.80
  4. Step 4: Simplify right side
    430,017.18x = 93,887,714,451.46
  5. Step 5: Solve for x
    x = 93,887,714,451.46/430,017.18
  6. Step 6: Final answer
    x = 218,334.80

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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.