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Finding the Fourth Proportional to 525,712.80, 787,402.80 and 210,007.20

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Solution

The fourth proportional to 525,712.80, 787,402.80 and 210,007.20 is: 314,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,712.80 : 787,402.80 = 210,007.20 : x
  2. Step 2: Convert to fraction form
    525,712.80/787,402.80 = 210,007.20/x
  3. Step 3: Cross multiply
    525,712.80x = 787,402.80 × 210,007.20
  4. Step 4: Simplify right side
    525,712.80x = 165,360,257,300.16
  5. Step 5: Solve for x
    x = 165,360,257,300.16/525,712.80
  6. Step 6: Final answer
    x = 314,544.86

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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.