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Finding the Fourth Proportional to 553,378.40, 830,067.60 and 402,912.80

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Solution

The fourth proportional to 553,378.40, 830,067.60 and 402,912.80 is: 604,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,378.40 : 830,067.60 = 402,912.80 : x
  2. Step 2: Convert to fraction form
    553,378.40/830,067.60 = 402,912.80/x
  3. Step 3: Cross multiply
    553,378.40x = 830,067.60 × 402,912.80
  4. Step 4: Simplify right side
    553,378.40x = 334,444,860,905.28
  5. Step 5: Solve for x
    x = 334,444,860,905.28/553,378.40
  6. Step 6: Final answer
    x = 604,369.20

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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.