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Finding the Fourth Proportional to 430,188.47, 644,701.44 and 163,803.67

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Solution

The fourth proportional to 430,188.47, 644,701.44 and 163,803.67 is: 245,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,188.47 : 644,701.44 = 163,803.67 : x
  2. Step 2: Convert to fraction form
    430,188.47/644,701.44 = 163,803.67/x
  3. Step 3: Cross multiply
    430,188.47x = 644,701.44 × 163,803.67
  4. Step 4: Simplify right side
    430,188.47x = 105,604,457,883.76
  5. Step 5: Solve for x
    x = 105,604,457,883.76/430,188.47
  6. Step 6: Final answer
    x = 245,484.17

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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.