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Finding the Fourth Proportional to 509,815.70, 703,346.55 and 291,907.92

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Solution

The fourth proportional to 509,815.70, 703,346.55 and 291,907.92 is: 402,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,815.70 : 703,346.55 = 291,907.92 : x
  2. Step 2: Convert to fraction form
    509,815.70/703,346.55 = 291,907.92/x
  3. Step 3: Cross multiply
    509,815.70x = 703,346.55 × 291,907.92
  4. Step 4: Simplify right side
    509,815.70x = 205,312,428,449.68
  5. Step 5: Solve for x
    x = 205,312,428,449.68/509,815.70
  6. Step 6: Final answer
    x = 402,718.92

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1.5x scale

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.