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Finding the Fourth Proportional to 487,476.90, 731,647.35 and 287,547.30

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Solution

The fourth proportional to 487,476.90, 731,647.35 and 287,547.30 is: 431,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,476.90 : 731,647.35 = 287,547.30 : x
  2. Step 2: Convert to fraction form
    487,476.90/731,647.35 = 287,547.30/x
  3. Step 3: Cross multiply
    487,476.90x = 731,647.35 × 287,547.30
  4. Step 4: Simplify right side
    487,476.90x = 210,383,220,044.66
  5. Step 5: Solve for x
    x = 210,383,220,044.66/487,476.90
  6. Step 6: Final answer
    x = 431,575.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.