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Finding the Fourth Proportional to 525,300.40, 787,720.20 and 209,652.40

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Solution

The fourth proportional to 525,300.40, 787,720.20 and 209,652.40 is: 314,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,300.40 : 787,720.20 = 209,652.40 : x
  2. Step 2: Convert to fraction form
    525,300.40/787,720.20 = 209,652.40/x
  3. Step 3: Cross multiply
    525,300.40x = 787,720.20 × 209,652.40
  4. Step 4: Simplify right side
    525,300.40x = 165,147,430,458.48
  5. Step 5: Solve for x
    x = 165,147,430,458.48/525,300.40
  6. Step 6: Final answer
    x = 314,386.65

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1.5x scale

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.