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Finding the Fourth Proportional to 714,881.64, 986,289.97 and 456,909.60

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Solution

The fourth proportional to 714,881.64, 986,289.97 and 456,909.60 is: 630,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,881.64 : 986,289.97 = 456,909.60 : x
  2. Step 2: Convert to fraction form
    714,881.64/986,289.97 = 456,909.60/x
  3. Step 3: Cross multiply
    714,881.64x = 986,289.97 × 456,909.60
  4. Step 4: Simplify right side
    714,881.64x = 450,645,355,676.71
  5. Step 5: Solve for x
    x = 450,645,355,676.71/714,881.64
  6. Step 6: Final answer
    x = 630,377.58

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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.