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Finding the Fourth Proportional to 497,987.66, 687,125.76 and 283,091.06

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Solution

The fourth proportional to 497,987.66, 687,125.76 and 283,091.06 is: 390,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,987.66 : 687,125.76 = 283,091.06 : x
  2. Step 2: Convert to fraction form
    497,987.66/687,125.76 = 283,091.06/x
  3. Step 3: Cross multiply
    497,987.66x = 687,125.76 × 283,091.06
  4. Step 4: Simplify right side
    497,987.66x = 194,519,159,751.71
  5. Step 5: Solve for x
    x = 194,519,159,751.71/497,987.66
  6. Step 6: Final answer
    x = 390,610.40

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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.