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Finding the Fourth Proportional to 497,189.88, 745,117.38 and 272,210.76

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Solution

The fourth proportional to 497,189.88, 745,117.38 and 272,210.76 is: 407,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,189.88 : 745,117.38 = 272,210.76 : x
  2. Step 2: Convert to fraction form
    497,189.88/745,117.38 = 272,210.76/x
  3. Step 3: Cross multiply
    497,189.88x = 745,117.38 × 272,210.76
  4. Step 4: Simplify right side
    497,189.88x = 202,828,968,299.01
  5. Step 5: Solve for x
    x = 202,828,968,299.01/497,189.88
  6. Step 6: Final answer
    x = 407,950.72

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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.