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Finding the Fourth Proportional to 549,853.64, 758,762.10 and 323,455.40

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Solution

The fourth proportional to 549,853.64, 758,762.10 and 323,455.40 is: 446,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,853.64 : 758,762.10 = 323,455.40 : x
  2. Step 2: Convert to fraction form
    549,853.64/758,762.10 = 323,455.40/x
  3. Step 3: Cross multiply
    549,853.64x = 758,762.10 × 323,455.40
  4. Step 4: Simplify right side
    549,853.64x = 245,425,698,560.34
  5. Step 5: Solve for x
    x = 245,425,698,560.34/549,853.64
  6. Step 6: Final answer
    x = 446,347.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.