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Finding the Fourth Proportional to 537,803.20, 804,955.20 and 418,830.40

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Solution

The fourth proportional to 537,803.20, 804,955.20 and 418,830.40 is: 626,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,803.20 : 804,955.20 = 418,830.40 : x
  2. Step 2: Convert to fraction form
    537,803.20/804,955.20 = 418,830.40/x
  3. Step 3: Cross multiply
    537,803.20x = 804,955.20 × 418,830.40
  4. Step 4: Simplify right side
    537,803.20x = 337,139,708,398.08
  5. Step 5: Solve for x
    x = 337,139,708,398.08/537,803.20
  6. Step 6: Final answer
    x = 626,883.05

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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.