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Finding the Fourth Proportional to 554,309.17, 830,617.87 and 288,156.13

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Solution

The fourth proportional to 554,309.17, 830,617.87 and 288,156.13 is: 431,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,309.17 : 830,617.87 = 288,156.13 : x
  2. Step 2: Convert to fraction form
    554,309.17/830,617.87 = 288,156.13/x
  3. Step 3: Cross multiply
    554,309.17x = 830,617.87 × 288,156.13
  4. Step 4: Simplify right side
    554,309.17x = 239,347,630,928.04
  5. Step 5: Solve for x
    x = 239,347,630,928.04/554,309.17
  6. Step 6: Final answer
    x = 431,794.46

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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.