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Finding the Fourth Proportional to 553,615.40, 828,454.80 and 384,341.60

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Solution

The fourth proportional to 553,615.40, 828,454.80 and 384,341.60 is: 575,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,615.40 : 828,454.80 = 384,341.60 : x
  2. Step 2: Convert to fraction form
    553,615.40/828,454.80 = 384,341.60/x
  3. Step 3: Cross multiply
    553,615.40x = 828,454.80 × 384,341.60
  4. Step 4: Simplify right side
    553,615.40x = 318,409,643,359.68
  5. Step 5: Solve for x
    x = 318,409,643,359.68/553,615.40
  6. Step 6: Final answer
    x = 575,145.93

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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.