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Finding the Fourth Proportional to 546,250, 753,828.20 and 304,547.76

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Solution

The fourth proportional to 546,250, 753,828.20 and 304,547.76 is: 420,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,250 : 753,828.20 = 304,547.76 : x
  2. Step 2: Convert to fraction form
    546,250/753,828.20 = 304,547.76/x
  3. Step 3: Cross multiply
    546,250x = 753,828.20 × 304,547.76
  4. Step 4: Simplify right side
    546,250x = 229,576,689,734.83
  5. Step 5: Solve for x
    x = 229,576,689,734.83/546,250
  6. Step 6: Final answer
    x = 420,277.69

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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.