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Finding the Fourth Proportional to 613,777.17, 920,075.25 and 314,398.74

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Solution

The fourth proportional to 613,777.17, 920,075.25 and 314,398.74 is: 471,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,777.17 : 920,075.25 = 314,398.74 : x
  2. Step 2: Convert to fraction form
    613,777.17/920,075.25 = 314,398.74/x
  3. Step 3: Cross multiply
    613,777.17x = 920,075.25 × 314,398.74
  4. Step 4: Simplify right side
    613,777.17x = 289,270,499,305.19
  5. Step 5: Solve for x
    x = 289,270,499,305.19/613,777.17
  6. Step 6: Final answer
    x = 471,295.63

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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.