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Finding the Fourth Proportional to 434,715.30, 651,769.20 and 257,130.90

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Solution

The fourth proportional to 434,715.30, 651,769.20 and 257,130.90 is: 385,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,715.30 : 651,769.20 = 257,130.90 : x
  2. Step 2: Convert to fraction form
    434,715.30/651,769.20 = 257,130.90/x
  3. Step 3: Cross multiply
    434,715.30x = 651,769.20 × 257,130.90
  4. Step 4: Simplify right side
    434,715.30x = 167,590,000,988.28
  5. Step 5: Solve for x
    x = 167,590,000,988.28/434,715.30
  6. Step 6: Final answer
    x = 385,516.68

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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.