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Finding the Fourth Proportional to 412,055.68, 617,038.08 and 345,320.32

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Solution

The fourth proportional to 412,055.68, 617,038.08 and 345,320.32 is: 517,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,055.68 : 617,038.08 = 345,320.32 : x
  2. Step 2: Convert to fraction form
    412,055.68/617,038.08 = 345,320.32/x
  3. Step 3: Cross multiply
    412,055.68x = 617,038.08 × 345,320.32
  4. Step 4: Simplify right side
    412,055.68x = 213,075,787,237.79
  5. Step 5: Solve for x
    x = 213,075,787,237.79/412,055.68
  6. Step 6: Final answer
    x = 517,104.36

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1.5x scale

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.