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Finding the Fourth Proportional to 549,216, 757,929.60 and 310,752

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Solution

The fourth proportional to 549,216, 757,929.60 and 310,752 is: 428,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,216 : 757,929.60 = 310,752 : x
  2. Step 2: Convert to fraction form
    549,216/757,929.60 = 310,752/x
  3. Step 3: Cross multiply
    549,216x = 757,929.60 × 310,752
  4. Step 4: Simplify right side
    549,216x = 235,528,139,059.20
  5. Step 5: Solve for x
    x = 235,528,139,059.20/549,216
  6. Step 6: Final answer
    x = 428,844.28

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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.