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Finding the Fourth Proportional to 714,875.82, 986,282 and 456,903.76

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Solution

The fourth proportional to 714,875.82, 986,282 and 456,903.76 is: 630,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,875.82 : 986,282 = 456,903.76 : x
  2. Step 2: Convert to fraction form
    714,875.82/986,282 = 456,903.76/x
  3. Step 3: Cross multiply
    714,875.82x = 986,282 × 456,903.76
  4. Step 4: Simplify right side
    714,875.82x = 450,635,954,220.32
  5. Step 5: Solve for x
    x = 450,635,954,220.32/714,875.82
  6. Step 6: Final answer
    x = 630,369.56

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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.