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Finding the Fourth Proportional to 674,742.10, 930,990.63 and 402,898

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Solution

The fourth proportional to 674,742.10, 930,990.63 and 402,898 is: 555,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,742.10 : 930,990.63 = 402,898 : x
  2. Step 2: Convert to fraction form
    674,742.10/930,990.63 = 402,898/x
  3. Step 3: Cross multiply
    674,742.10x = 930,990.63 × 402,898
  4. Step 4: Simplify right side
    674,742.10x = 375,094,262,845.74
  5. Step 5: Solve for x
    x = 375,094,262,845.74/674,742.10
  6. Step 6: Final answer
    x = 555,907.60

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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.