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Finding the Fourth Proportional to 553,338.40, 830,007.60 and 402,872.80

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Solution

The fourth proportional to 553,338.40, 830,007.60 and 402,872.80 is: 604,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,338.40 : 830,007.60 = 402,872.80 : x
  2. Step 2: Convert to fraction form
    553,338.40/830,007.60 = 402,872.80/x
  3. Step 3: Cross multiply
    553,338.40x = 830,007.60 × 402,872.80
  4. Step 4: Simplify right side
    553,338.40x = 334,387,485,833.28
  5. Step 5: Solve for x
    x = 334,387,485,833.28/553,338.40
  6. Step 6: Final answer
    x = 604,309.20

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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.