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Finding the Fourth Proportional to 549,488.56, 824,764.90 and 265,378.80

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Solution

The fourth proportional to 549,488.56, 824,764.90 and 265,378.80 is: 398,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,488.56 : 824,764.90 = 265,378.80 : x
  2. Step 2: Convert to fraction form
    549,488.56/824,764.90 = 265,378.80/x
  3. Step 3: Cross multiply
    549,488.56x = 824,764.90 × 265,378.80
  4. Step 4: Simplify right side
    549,488.56x = 218,875,119,444.12
  5. Step 5: Solve for x
    x = 218,875,119,444.12/549,488.56
  6. Step 6: Final answer
    x = 398,325.16

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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.