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Finding the Fourth Proportional to 714,912.60, 986,603.58 and 409,039.32

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Solution

The fourth proportional to 714,912.60, 986,603.58 and 409,039.32 is: 564,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,912.60 : 986,603.58 = 409,039.32 : x
  2. Step 2: Convert to fraction form
    714,912.60/986,603.58 = 409,039.32/x
  3. Step 3: Cross multiply
    714,912.60x = 986,603.58 × 409,039.32
  4. Step 4: Simplify right side
    714,912.60x = 403,559,657,472.77
  5. Step 5: Solve for x
    x = 403,559,657,472.77/714,912.60
  6. Step 6: Final answer
    x = 564,488.10

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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.