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Finding the Fourth Proportional to 434,580.60, 651,935.70 and 154,075.80

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Solution

The fourth proportional to 434,580.60, 651,935.70 and 154,075.80 is: 231,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,580.60 : 651,935.70 = 154,075.80 : x
  2. Step 2: Convert to fraction form
    434,580.60/651,935.70 = 154,075.80/x
  3. Step 3: Cross multiply
    434,580.60x = 651,935.70 × 154,075.80
  4. Step 4: Simplify right side
    434,580.60x = 100,447,514,526.06
  5. Step 5: Solve for x
    x = 100,447,514,526.06/434,580.60
  6. Step 6: Final answer
    x = 231,136.67

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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.