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Finding the Fourth Proportional to 549,232, 757,951.68 and 310,768

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Solution

The fourth proportional to 549,232, 757,951.68 and 310,768 is: 428,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,232 : 757,951.68 = 310,768 : x
  2. Step 2: Convert to fraction form
    549,232/757,951.68 = 310,768/x
  3. Step 3: Cross multiply
    549,232x = 757,951.68 × 310,768
  4. Step 4: Simplify right side
    549,232x = 235,547,127,690.24
  5. Step 5: Solve for x
    x = 235,547,127,690.24/549,232
  6. Step 6: Final answer
    x = 428,866.36

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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.