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Finding the Fourth Proportional to 430,073.28, 643,706.15 and 316,190.93

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Solution

The fourth proportional to 430,073.28, 643,706.15 and 316,190.93 is: 473,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,073.28 : 643,706.15 = 316,190.93 : x
  2. Step 2: Convert to fraction form
    430,073.28/643,706.15 = 316,190.93/x
  3. Step 3: Cross multiply
    430,073.28x = 643,706.15 × 316,190.93
  4. Step 4: Simplify right side
    430,073.28x = 203,534,041,415.73
  5. Step 5: Solve for x
    x = 203,534,041,415.73/430,073.28
  6. Step 6: Final answer
    x = 473,254.33

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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.