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Finding the Fourth Proportional to 525,328.80, 787,701.60 and 209,428.80

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Solution

The fourth proportional to 525,328.80, 787,701.60 and 209,428.80 is: 314,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,328.80 : 787,701.60 = 209,428.80 : x
  2. Step 2: Convert to fraction form
    525,328.80/787,701.60 = 209,428.80/x
  3. Step 3: Cross multiply
    525,328.80x = 787,701.60 × 209,428.80
  4. Step 4: Simplify right side
    525,328.80x = 164,967,400,846.08
  5. Step 5: Solve for x
    x = 164,967,400,846.08/525,328.80
  6. Step 6: Final answer
    x = 314,026.95

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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.