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Finding the Fourth Proportional to 806,526, 1,209,041.16 and 357,007.20

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Solution

The fourth proportional to 806,526, 1,209,041.16 and 357,007.20 is: 535,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,526 : 1,209,041.16 = 357,007.20 : x
  2. Step 2: Convert to fraction form
    806,526/1,209,041.16 = 357,007.20/x
  3. Step 3: Cross multiply
    806,526x = 1,209,041.16 × 357,007.20
  4. Step 4: Simplify right side
    806,526x = 431,636,399,216.35
  5. Step 5: Solve for x
    x = 431,636,399,216.35/806,526
  6. Step 6: Final answer
    x = 535,179.77

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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.