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Finding the Fourth Proportional to 524,622.60, 787,128.30 and 209,305.80

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Solution

The fourth proportional to 524,622.60, 787,128.30 and 209,305.80 is: 314,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,622.60 : 787,128.30 = 209,305.80 : x
  2. Step 2: Convert to fraction form
    524,622.60/787,128.30 = 209,305.80/x
  3. Step 3: Cross multiply
    524,622.60x = 787,128.30 × 209,305.80
  4. Step 4: Simplify right side
    524,622.60x = 164,750,518,534.14
  5. Step 5: Solve for x
    x = 164,750,518,534.14/524,622.60
  6. Step 6: Final answer
    x = 314,036.26

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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.