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Finding the Fourth Proportional to 553,645.20, 830,468.36 and 154,287.12

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Solution

The fourth proportional to 553,645.20, 830,468.36 and 154,287.12 is: 231,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,645.20 : 830,468.36 = 154,287.12 : x
  2. Step 2: Convert to fraction form
    553,645.20/830,468.36 = 154,287.12/x
  3. Step 3: Cross multiply
    553,645.20x = 830,468.36 × 154,287.12
  4. Step 4: Simplify right side
    553,645.20x = 128,130,571,515.52
  5. Step 5: Solve for x
    x = 128,130,571,515.52/553,645.20
  6. Step 6: Final answer
    x = 231,430.84

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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.