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Finding the Fourth Proportional to 521,794.10, 783,641.55 and 456,475.70

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Solution

The fourth proportional to 521,794.10, 783,641.55 and 456,475.70 is: 685,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,794.10 : 783,641.55 = 456,475.70 : x
  2. Step 2: Convert to fraction form
    521,794.10/783,641.55 = 456,475.70/x
  3. Step 3: Cross multiply
    521,794.10x = 783,641.55 × 456,475.70
  4. Step 4: Simplify right side
    521,794.10x = 357,713,325,085.34
  5. Step 5: Solve for x
    x = 357,713,325,085.34/521,794.10
  6. Step 6: Final answer
    x = 685,544.98

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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.