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Finding the Fourth Proportional to 549,240, 757,962.72 and 310,776

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Solution

The fourth proportional to 549,240, 757,962.72 and 310,776 is: 428,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,240 : 757,962.72 = 310,776 : x
  2. Step 2: Convert to fraction form
    549,240/757,962.72 = 310,776/x
  3. Step 3: Cross multiply
    549,240x = 757,962.72 × 310,776
  4. Step 4: Simplify right side
    549,240x = 235,556,622,270.72
  5. Step 5: Solve for x
    x = 235,556,622,270.72/549,240
  6. Step 6: Final answer
    x = 428,877.40

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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.