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Finding the Fourth Proportional to 398,417.95, 596,642.77 and 296,972.74

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Solution

The fourth proportional to 398,417.95, 596,642.77 and 296,972.74 is: 444,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,417.95 : 596,642.77 = 296,972.74 : x
  2. Step 2: Convert to fraction form
    398,417.95/596,642.77 = 296,972.74/x
  3. Step 3: Cross multiply
    398,417.95x = 596,642.77 × 296,972.74
  4. Step 4: Simplify right side
    398,417.95x = 177,186,638,208.09
  5. Step 5: Solve for x
    x = 177,186,638,208.09/398,417.95
  6. Step 6: Final answer
    x = 444,725.54

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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.