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Finding the Fourth Proportional to 714,911.60, 986,602.20 and 409,038.32

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Solution

The fourth proportional to 714,911.60, 986,602.20 and 409,038.32 is: 564,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,911.60 : 986,602.20 = 409,038.32 : x
  2. Step 2: Convert to fraction form
    714,911.60/986,602.20 = 409,038.32/x
  3. Step 3: Cross multiply
    714,911.60x = 986,602.20 × 409,038.32
  4. Step 4: Simplify right side
    714,911.60x = 403,558,106,396.30
  5. Step 5: Solve for x
    x = 403,558,106,396.30/714,911.60
  6. Step 6: Final answer
    x = 564,486.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.