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Finding the Fourth Proportional to 971,728.86, 1,340,928.08 and 563,799.10

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Solution

The fourth proportional to 971,728.86, 1,340,928.08 and 563,799.10 is: 778,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,728.86 : 1,340,928.08 = 563,799.10 : x
  2. Step 2: Convert to fraction form
    971,728.86/1,340,928.08 = 563,799.10/x
  3. Step 3: Cross multiply
    971,728.86x = 1,340,928.08 × 563,799.10
  4. Step 4: Simplify right side
    971,728.86x = 756,014,044,668.73
  5. Step 5: Solve for x
    x = 756,014,044,668.73/971,728.86
  6. Step 6: Final answer
    x = 778,009.25

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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.