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Finding the Fourth Proportional to 876,808.95, 1,209,652.10 and 509,223.51

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Solution

The fourth proportional to 876,808.95, 1,209,652.10 and 509,223.51 is: 702,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,808.95 : 1,209,652.10 = 509,223.51 : x
  2. Step 2: Convert to fraction form
    876,808.95/1,209,652.10 = 509,223.51/x
  3. Step 3: Cross multiply
    876,808.95x = 1,209,652.10 × 509,223.51
  4. Step 4: Simplify right side
    876,808.95x = 615,983,285,694.75
  5. Step 5: Solve for x
    x = 615,983,285,694.75/876,808.95
  6. Step 6: Final answer
    x = 702,528.51

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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.