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Finding the Fourth Proportional to 434,328.60, 650,715.30 and 355,013.40

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Solution

The fourth proportional to 434,328.60, 650,715.30 and 355,013.40 is: 531,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,328.60 : 650,715.30 = 355,013.40 : x
  2. Step 2: Convert to fraction form
    434,328.60/650,715.30 = 355,013.40/x
  3. Step 3: Cross multiply
    434,328.60x = 650,715.30 × 355,013.40
  4. Step 4: Simplify right side
    434,328.60x = 231,012,651,085.02
  5. Step 5: Solve for x
    x = 231,012,651,085.02/434,328.60
  6. Step 6: Final answer
    x = 531,884.50

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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.