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Finding the Fourth Proportional to 553,643.40, 828,496.80 and 384,369.60

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Solution

The fourth proportional to 553,643.40, 828,496.80 and 384,369.60 is: 575,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,643.40 : 828,496.80 = 384,369.60 : x
  2. Step 2: Convert to fraction form
    553,643.40/828,496.80 = 384,369.60/x
  3. Step 3: Cross multiply
    553,643.40x = 828,496.80 × 384,369.60
  4. Step 4: Simplify right side
    553,643.40x = 318,448,983,617.28
  5. Step 5: Solve for x
    x = 318,448,983,617.28/553,643.40
  6. Step 6: Final answer
    x = 575,187.90

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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.