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Finding the Fourth Proportional to 426,805.68, 588,307.68 and 288,941.16

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Solution

The fourth proportional to 426,805.68, 588,307.68 and 288,941.16 is: 398,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,805.68 : 588,307.68 = 288,941.16 : x
  2. Step 2: Convert to fraction form
    426,805.68/588,307.68 = 288,941.16/x
  3. Step 3: Cross multiply
    426,805.68x = 588,307.68 × 288,941.16
  4. Step 4: Simplify right side
    426,805.68x = 169,986,303,496.11
  5. Step 5: Solve for x
    x = 169,986,303,496.11/426,805.68
  6. Step 6: Final answer
    x = 398,275.64

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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.